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First step is going to be to get an actual ac person out to troubleshoot to see what is necessary to possibly get the units running.Inspectors usually know very little about air conditioning other than they work or they don't.
If you have refrigerant gauges an a multi meter I will be happy to help you troubleshoot.
My suggestion is to Google or look in phone book under eating and ac contractors in the area where the home is located and contact one of them to do a ac checkout to see what really needs to be done. This could be as simple as defective thermostat to an electrical issue to worse case scenario,defective compressors.
I definitely would not take an inspector's word that units need to be replaced.
Is there anyone close enough to the home that might be able to do some troubleshooting with my guidance?If so I would be happy to tell them where to start.Otherwise Recommendation is as mentioned.