How long can someone be held without a trial for warrants from another county and not be extradited?

I think that I'm missing some important information. Your question sounds like the warrants are from the same state as where the person is being held. But I can't be sure. If its the same state or not, it makes a difference. It also sounds like there is another pending charge(s), that the person was originally picked up for. That too is necessary information. Having a one-on-one conversation with a lawyer would be very advisable.