WASHINGTON — The Office of Federal Housing Enterprise Oversight is looking into an investment Freddie Mac made earlier this month in LendingTree Inc., an online loan exchange.

LendingTree last week disclosed that its $45 million funding package, which closed Wednesday, included $2.5 million from Freddie Mac. The investment has raised some eyebrows among critics of the government-sponsored enterprises, including FM Watch, which said Freddie is acting like a commercial bank by investing in the Charlotte, N.C.-based LendingTree.

“We’re aware of the transaction,” said a spokeswoman for OFHEO. “Before we come to any conclusions, we’re gathering all the facts.”

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