For higher priced properties, you would have to pay off far more than the cash flow you receive from rents to pay the property off. I did some quick payoffs with my lower end properties.
I actually originate 4 to 7 year loans. My Banks and private lenders love it too.
My personal residence was refinanced a couple of years ago into an 8 year loan. Six years left on a mortgage with a 3.65% rate is something I'm happy with. My mortgage is through Quicken Loans via Charles Schwab.