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They don't get a notification about the deleted answer, but they do get a notification from the comments by the ♦ moderator. That's why I tend to leave a comment whenever I delete a post. As a regular user, you should still leave comments because the author might read them before their post gets deleted. Some more details can be found in this Meta ...
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If you're talking about minor edits like this one, that's status-bydesign. You're only notified of substantial edits; which edits are substantial is not completely defined:
There are a few rules in how "substantive" is defined, but typically one of the following should be enough to trigger a message:
edit to a question title
the edit in the post ...
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Click on the number "9" in the bar at the top. It will expand to show you a list of the messages in your inbox.
Only top voted, non community-wiki answers of a minimum length are eligible
