Amid reports of a break-up, Jennifer Lopez and Alex Rodriguez announce they are together The "Love Don't Cost a Thing" singer and Rodriguez, known as A-Rod, began dating in early 2017 and announced their engagement in March 2019. Jennifer Lopez and Alex Rodriguez | File photo Share Updated: Mar 13, 2021, 10:22 PM IST On Saturday, a day after several media outlets reported that power couple Jennifer Lopez and Alex Rodriguez had called off their engagement, the two have come out to make a joint statement announcing they are together and "working through some things. According to a report in PEOPLE, a joint statement obtained by the publication read, "We are working through some things."