Three CRUCIAL questions on the champ pool mechanic.

If a champ is bought and sold, does it go back into the champion pool? If a silver or gold merged champion is sold, would the number of units that get added to the pool be 3 and 9 respectively? If a player is eliminate or quits, do his champs go back in the pool? PLEASE, don't give your best guess. This is very important info, and I would appreciate only corroborated answers.
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