What is this and patio repair question?

[Bill Sargeson]

I just purchased this house that was built in 1969 and it has these exhaust fans, one in the kitchen and one in living room.  They aren't connected to any light switches so I am guessing they were disconnected but I was wondering what purpose they had and I guess there is no harm in leaving them there other than being an eyesore.  This is a buy and hold property.  Second question the back patio is in rough shape in certain areas, I really don't want to jack hammer up the whole patio, has anyone resurfaced concrete?