A Battle of the Sexes in North Carolina Fuels a Wider Republican Clash

Dr. Joan Perry, who is facing Dr. Greg Murphy in a Republican primary runoff for a congressional seat, takes part in a Fourth of July parade in River Bend, N.C., July 4, 2019. As the party works to cultivate female candidates, the runoff on Tuesday will go a long way toward demonstrating whether it can unite behind a woman. (Caitlin Penna/The New York Times)