I have kept the doors and window shut for 2 days now because I have been ill and some mosquitoes got their way in and still are biting. How long will they live inside airconditioning rooms?
I have had them live up to 2 days in my place.
Some additional steps to take would be to make sure they don't have access to standing water, for example in your kitchen, you may leave a cup with a bit of water inside it still. Mosquitoes will use this to lay their eggs and reproduce. This goes the same as for your bathroom and wherever standing water may be.
Wear pants and a long sleeve shirt if possible to keep them from biting your legs and arms.
If you find them, destroy them! good luck