Mary-Kate Olsen, 29, and Fiance Olivier Sarkozy, 46, Hold Hands in the Hamptons

Mary-Kate Olsen and Olivier Sarkozy still have the look of love.

Looks like Mary-Kate Olsen and her much older man, French banker Olivier Sarkozy, are still going strong and not shy about showing some PDA.

The couple was snapped at the 2015 Hampton Classic Horse Show in New York on Thursday, holding hands at the posh event. The 29-year-old former Full House actress looked like an equestrian in a white polo and khaki pants, while her 46-year-old fiance -- the half-brother of former French president Nicolas Sarkozy -- went casual in jeans and a striped button-down.

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Later, Olsen was seen competing in the show, riding a black and white horse through the course.


WATCH: Mary-Kate and Ashley Olsen Talk 'Full House' Spinoff -- You Got It, Dude!

Mary-Kate and Olivier first stepped out together in 2012, and reportedly got engaged in late February, though the notoriously private Mary-Kate has never confirmed any news about her personal life. Last September, Lucky magazine reported that the two had already tied the knot, citing an "anonymous, well-connected source," after they were spotted wearing matching thin gold wedding rings in the Hamptons.

If true, it would mark Mary-Kate's first marriage and Olivier's second. He was previously married to author Charlotte Bernard, and has two children with his ex-wife -- son Julien, and daughter Margot.

Mary-Kate actually talked about possibly designing her own wedding dress last May -- but stressed that there was no rush. "I’m, like, not even there yet," she told WWD. "I think it may be a matter of getting five or six or making two or three and being stressed out. That seems kind of far away. We’ll take one step at a time.”

And it appears both Mary-Kate and twin sister Ashley are happily in love. Ashley also has a much older beau -- 48-year-old Foxcatcher director Bennett Miller -- who she reportedly started dating early last year.

PHOTO: Ashley Olsen's Boyfriend Is Even Older Than Mary-Kate's

But are we ready to see Mary-Kate and Ashley on the small screen again?! Last month, Netflix's chief content officer, Ted Sarandos, teased that the two are still "teetering on whether or not they'll be around" for the highly anticipated Full House reboot.

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