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The couple apparently almost split in 2009 over affair rumours.
Jennifer Lopez and Marc Anthony announced their plans to divorce last week but the couple nearly split two years ago say recent reports.
Us Weekly say a source told them Jen and Marc entered marriage counselling after he had an alleged affair with a flight attendant.
"Jennifer was going to leave him then," Us Weekly report the source saying. "But Marc begged her to stay.
"They went to marriage counselling and she decided to give it another shot.
"He was someone she truly loved."
Jennifer reportedly has temporary custody of the pair's kids, three-year-old twins Max and Emme until their split is finalised.