Yes and no.
For "upated", use a REST search. You haven't defined what you mean by "updated", but you can search for pretty much anything you want.
For deleted issues - no. Deleted issues have been deleted. You can't search for stuff that's not there.
I have multiple projects that use variations of the same base workflow. The variations depend on the requirements of the project or issue type. The variations mostly come in the form of new statuses ...
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