Prohoff
I am not an Allergist and alot depends upon the severity of what you two have. Diego Mamami pretty much covered it. Getting rid of odors can be very different from getting rid of hair and dander that can be left behind. It can impact the air quality for a very long time. The best thing I can think of to do is to spend an extended period of time in the house to see how it impacts you. Thats why i suggested sitting and walking around the house during the inspection.