Some states require you to provide the stove and/or refrigerator in rental units.

I have a duplex I just rented out, I supplied washer, dryer, range, microwave, and refrigerator for each.

And no refrigerator either but I know what to do about that...

And if supplied the rent is higher to cover costs, repairs and utilities (if applicable).In SFH we generally do not supply refrigerators either, so that the tenants supply their own washer dryer and frig.

Yet I have read numerous posts from landlords who do not provide refrigerators and other appliances.

Make sure you clean UNDER the range and refrigerator every time someone moves in and out.

It could be a lack of proper air flow around the coils, the condensate not draining away properly or draining too slow, the refrigerant could be too low or leaking, the air filter could be clogged, a damaged or broken fan, etc.

I went and did an inspection of the unit and found some problems.1) Handle to the refrigerator is ripped off. 2) They used large nails to hang paintings so now I have walls with many holes.

We have a washer and dryer in the property but no refrigerator.  

If your duplex has some used appliances (range, refrigerator, dishwasher, washer, dryer) you could break out the thrift shop value out from the cost of your dwelling structure, and depreciate those over five years or until they are replaced, but, the thrift shop value of used appliances is usually not worth the time and expense of a cost segregation study.