New York City’s rent stabilization regime has survived constitutional challenges brought by landlord groups—though further legal fights over the law may lie ahead.

On Tuesday, the U.S. Supreme Court ruled that it would decline to hear challenges sent up from the U.S. Court of Appeals for the Second Circuit in a pair of lawsuits filed by property owners who argue that rent stabilization, which places caps on some 1 million units in New York City and in some cases requires landlords to offer their tenants lease renewals, violates their property rights.