lucky is right, once you do online check-in, you can just drop your bags more than 45 minutes before departure. My experience is that attempting to have your bag tags printed 44 minutes or less before departure, neither you nor your bags are getting on that flight.
So whatever you do, do not miss that cutoff.
For an international flight, I often have no checked bags and have done online checkin, so I just have to make sure I do not miss the plane, I don't have to stop anywhere before boarding.