Each year since 2006, when the Humane Society received an anonymous communication that a retailer was going to be advertising an animal fur product as fake fur in a printed circular, the group has conducted investigations. It scours Web sites and stores for mislabeled products. Suspected real-fur items are sent to a lab for testing. Last fall, the group found fur where it was not supposed to be in a handful of products sold at 11 retailers, including the three in settlement announced Tuesday, as well as Dillard’s and Barneys New York, according to a complaint filed by the organization. “We continue to find animal fur sold as faux fur every single season,” said Pierre Grzybowski, the research and enforcement manager of the Fur-Free campaign for the Humane Society.