Does dealership inspect and service their used car inventory prior to sale?

Yes

Yes they do

Of course every dealer does that.

Ford dealers participate in a certified preowned program that does that. If you stick to certified cars, they'll have been inspected, serviced, and even warranted.

Yes they give it a very rigorous overall inspection on anything and replace what might be wrong or potentially going to be wrong I would recommend procedures for to anybody and ask for George he is a true American and he's the coolest guy in the world