It seems like the only clauses being removed are those that protect PHP and Zend trademarks. Other than that, it's just unifying the two projects under a single license.
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Basically, these two clauses (first from PHP, second from Zend) are removed:
The name “PHP” must not be used to endorse or promote products derived from this software without prior written permission. For written permission, please contact group@php.net.
The names “Zend” and “Zend Engine” must not be used to endorse or promote products derived from this software without prior permission from Zend Technologies Ltd. For written permission, please contact license@zend.com.
And replaced with:
Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.
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Then the following three terms (4-6) are removed from PHP:
4. Products derived from this software may not be called “PHP”, nor may “PHP” appear in their name, without prior written permission from group@php.net. You may indicate that your software works in conjunction with PHP by saying “Foo for PHP” instead of calling it “PHP Foo” or “phpfoo”
5. The PHP Group may publish revised and/or new versions of the license from time to time. Each version will be given a distinguishing version number. Once covered code has been published under a particular version of the license, you may always continue to use it under the terms of that version. You may also choose to use such covered code under the terms of any subsequent version of the license published by the PHP Group. No one other than the PHP Group has the right to modify the terms applicable to covered code created under this License.
6. Redistributions of any form whatsoever must retain the following acknowledgment: “This product includes PHP software, freely available from http://www.php.net/software/”.
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And the following three terms (4-6) are removed from Zend:
4. Zend Technologies Ltd. may publish revised and/or new versions of the license from time to time. Each version will be given a distinguishing version number. Once covered code has been published under a particular version of the license, you may always continue to use it under the terms of that version. You may also choose to use such covered code under the terms of any subsequent version of the license published by Zend Technologies Ltd. No one other than Zend Technologies Ltd. has the right to modify the terms applicable to covered code created under this License.
5. Redistributions of any form whatsoever must retain the following acknowledgment: "This product includes the Zend Engine, freely available at http://www.zend.com"
6. All advertising materials mentioning features or use of this software must display the following acknowledgment: "The Zend Engine is freely available at http://www.zend.com"
This is exactly the reason that "Windows Subsystem for Linux" never made sense: the correct preposition would've been "including". Other suggestions: the verb phrase "consisting of"; the adverb "to wit" ("Windows Subsystem, to wit: Linux" has a nice ring to it); whatever part of speech "which is" is.
NB: This was added "later" that is why tons of projects were grandfathered in, because they were already called phpMyAdmin, phpMyFAQ, etc. (IIRC at least)
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Basically, these two clauses (first from PHP, second from Zend) are removed:
The name “PHP” must not be used to endorse or promote products derived from this software without prior written permission. For written permission, please contact group@php.net.
The names “Zend” and “Zend Engine” must not be used to endorse or promote products derived from this software without prior permission from Zend Technologies Ltd. For written permission, please contact license@zend.com.
And replaced with:
Neither the name of the copyright holder nor the names of its contributors may be used to endorse or promote products derived from this software without specific prior written permission.
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Then the following three terms (4-6) are removed from PHP:
4. Products derived from this software may not be called “PHP”, nor may “PHP” appear in their name, without prior written permission from group@php.net. You may indicate that your software works in conjunction with PHP by saying “Foo for PHP” instead of calling it “PHP Foo” or “phpfoo”
5. The PHP Group may publish revised and/or new versions of the license from time to time. Each version will be given a distinguishing version number. Once covered code has been published under a particular version of the license, you may always continue to use it under the terms of that version. You may also choose to use such covered code under the terms of any subsequent version of the license published by the PHP Group. No one other than the PHP Group has the right to modify the terms applicable to covered code created under this License.
6. Redistributions of any form whatsoever must retain the following acknowledgment: “This product includes PHP software, freely available from http://www.php.net/software/”.
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And the following three terms (4-6) are removed from Zend:
4. Zend Technologies Ltd. may publish revised and/or new versions of the license from time to time. Each version will be given a distinguishing version number. Once covered code has been published under a particular version of the license, you may always continue to use it under the terms of that version. You may also choose to use such covered code under the terms of any subsequent version of the license published by Zend Technologies Ltd. No one other than Zend Technologies Ltd. has the right to modify the terms applicable to covered code created under this License.
5. Redistributions of any form whatsoever must retain the following acknowledgment: "This product includes the Zend Engine, freely available at http://www.zend.com"
6. All advertising materials mentioning features or use of this software must display the following acknowledgment: "The Zend Engine is freely available at http://www.zend.com"