It is possible for tapes to move media sets on their own, so to speak.
For example:
Tape 1 - Media Set 1 - Overwrite Protection of 1 day.
That tape is used on Monday so now has 1 day of overwrite protection.
Now on Thursday a different job kicks off that is using a different media set and is looking for overwritable media. The job does not find any scratch media or any available media in it's current media set, but does find that Tape 1 is overwritable since it's Overwrite protection has expired. This job can now pull that tape and move it's media set.
So now that tape looks like this:
Tape 1 - Media Set 2 - Overwrite Protection of 1 week.
Hope that helps.