This is dumb. Because I was away from my hard drive for more than 20 days, Time Machine no longer recognizes my old backups that it did. I guess I've lost everything.
I'd connect my backup hard drive to my computer, and while it would mount, when I would click on the Time Machine Application icon, none of the previous backups would show.
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... Time Machine no longer recognizes my old backups that it did. ...
What makes you think that?
1) Mount the hard drive, and look at the contents in the Finder. Is the Backups.backupdb folder there?
2) If it is, try turning off, then turning back on Time Machine is System Preferences.
I hope that this idea helps.