Private equity firm Thomas H. Lee Partners has purchased a majority stake in online real estate marketplace Ten-X, it said Wednesday. Terms of the deal were not disclosed. Ten-X, previously called Auction.com, maintains dual headquarters in San Mateo and Irvine. It had raised about $142 million in three rounds of funding, according to CrunchBase. Its marketplace offers both commercial real estate and residential properties, an area where it competes with consumer home listing sites Zillow and…