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Derek Jeter’s model girlfriend Hannah Davis is enjoying a big payday after Rob Lowe’s DirecTV ads were yanked following complaints that the spots were misleading.

Davis, 24, netted a “strong six-figure deal,” according to an industry source, for two ads that feature the Sports Illustrated Swimsuit cover girl with a horse on a Caribbean beach.

In the first ad, she is seen riding the white horse down the tropical beach, while in the second “Hannah and her horse” clip she’s shown sitting next to the talking steed.

Davis has a longstanding relationship with DirecTV, having appeared as the satellite provider’s “genie” in previous TV and print ads. But her profile, and her paycheck, has risen significantly thanks to her provocative SI cover and discreet but stable relationship with the retired Yankee superstar.

An ad-industry source told us, “Hannah was less expensive than Rob Lowe, who got a seven-figure deal, but that was spread across multiple ads he shot for the company. It will be interesting to see if Hannah remains the face of the company if the merger between DirecTV and AT&T is approved.”

Lowe’s DirecTV ads showing the actor and his loser alter ego were ditched this month ­after cable rival Comcast claimed the ads were misleading. The humorous ads had a handsome Lowe touting his superior DirecTV service while a far less attractive version of him is stuck with an inferior cable provider.

The spots ended with this warning from Lowe about his alter ego: “Don’t be like this me. Get rid of cable and upgrade to DirecTV.”

The National Advertising Division, an arm of the Council of Better Business Bureaus that reviews ads for accuracy and fairness, found some of DirecTV’s claims “unsupported” and urged the company to stop.

DirecTV said it stopped airing the ads ­because it had moved on to its campaign featuring Davis. But the company said it still plans to appeal the ruling.