You are talking about the tenants right to redeem the premises after the judgment for repossession, and before the actual eviction is complete, by paying what is due according to the judgment. As I said, if they pay that amount at any time before the eviction is completed (up to and including the moment that you move their last item out of the premises), then you can not evict them. If they do not pay that amount, then you can evict them. If you get three separate judgments for repossession within 12 months, then they lose the right to redeem the premises - so even if they pay the money before the eviction is completed, you can still evict them.
In theory, the process can take as little as two weeks - but it usually takes a little longer. You get a judgment for repossession. Then, you get a warrant for restitution. Then, you schedule the eviction with the Sheriff's Department. If they do not pay what is owed, you can evict them. I have done it numerous times. I have had them pay the rent and stay, and I have also had them not pay it and get evicted.
I'm not arguing about this just to argue. I am absolutely positive about it. I've had it explained to me by the District Court's clerks, and by the Sheriff's Deputy who was in charge of handling evictions - and as I said, I have done it multiple times with a deputy standing there supervising. I also just checked the Maryland Attorney General's site to confirm that it hasn't changed.
Perhaps your rental business issued notices just to be on the safe side, but you do not need to if the basis for eviction is failure to pay - it is called summary ejectment.