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There are multiple ways to reduce the impact of the problem. All of them would reduce property values and some might displace existing homeowners. All redistribution is painful and surely people will lose out, the same way that savers lose purchasing power to inflation. Nevertheless, I think it is a necessary rebalance of a system that has been favoring owning over renting for too long.
(1) Tax on imputed rent when owning (imputed rent should not be pre-tax)
(2) Land Value Tax
(3) Remove the mortgage interest deduction