But that would match on:

    a < b implies b > a
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which does not contain an HTML tag. Oh, and it won't match all HTML tags correctly either. Consider for instance:

    <tag attr1="one" attr2="two">
    <tag attr='"'> <tag attr1='"'>
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The first one fails to match because your regex requires that if there are double quoted values inside a tag, they must follow each other. And the second fails because your regex doesn't consider single quoted values.