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The two were spotted in the Hamptons, New York over the weekend after returning from an ultra-luxurious trip to the South of France.
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J.Rod enjoyed a stroll around the swanky beach town while walking hand-in-hand.
Photo credit: INSTARImages
They also kept up with their fitness and squeezed in a workout.
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Jennifer's 9-year-old twins, Emme and Max, seem to get along great with the former baseball star. They often spend time as a modern family along with Alex's kids.
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A source told E! News they are very serious: "J.Lo and A-Rod are talking marriage. J.Lo would marry A-Rod if he asked, she is head over heels for him."
Photo credit: INSTARImages
