Can Invalid Rosters Vote for Arbitration?

I couldn’t find the answer anywhere.

If an invalid roster is taken into the off-season (e.g. 49 players on roster that can fit 42), can that team vote in arbitration? If so, what is stopping them from over rostering players giving them more choices throughout the off-season to select their roster.

I appreciate the help and insight in advance.

This discussion has happened many times on these forums, including most prominently here:

and here:

The second thread has most of the discussion I believe you are interested in.