Carbon is used up between just four days and about week, depending on what it's adsorbing. It can make a good home for bacteria, but you'd have to remove it if your ever needed to medicate the tank, in case it adsorbed that too.
Most people don't bother running carbon at all, unless it's for a special reason (clearing up the last of meds after a course, removing tannins). You'd be better off replacing the whole thing with an extra sponge, or a sponge and a layer of floss, IMO.