I have gone through How do favorite questions work?, however I still do not know what does a small asterisk in the favorites tab header in my user profile mean?
i.e. the tab sometimes appears as
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That mean something has changed somewhere within your favorite posts.
And this is what I do when I want to look that what it was changed.
You can click those 7h ago, and 9h ago links to check what is those (those links has
?lastactivity parameters just like the one in homepage)