Even if I had a 20% down payment, fully accounted for tax deductions, payment against principal, etc, and ignoring costs like maintenance, my lease in Seattle is significantly less than the monthly cost of a mortgage for the same place.
This is true more often than people expect. Many landlords are not covering a mortgage payment as large as yours would be, or any mortgage at all, with your rent check. Their cost basis is not your cost basis so it is not unexpected that the market clearing price for rent is below the monthly cost for many people to buy the same property.