The short-term rental company became a Federal Trade Commission target over the summer after three senators asked for an investigation into how companies like Airbnb affect soaring housing costs. In a presentation in November, the American Hotel and Lodging Association, a trade group that counts Marriott International, Hilton Worldwide and Hyatt Hotels as members, said the federal investigation and the New York bill were “notable accomplishments.” The plan is a “multipronged, national campaign approach at the local, state and federal level,” according to the minutes of the association’s November board meeting. The documents provide an inside look at how seriously the U.S.