F9 3037 then AA 5120 at Charlotte
Miami → Charlotte → Baton Rouge
Timetable, Charlotte time
21:33F9 3037 from Miami at the gate
21:30AA 5120 to Baton Rouge leaves the gate
23 h 57 apart on the timetable, overnight
AA 5120 leaves 23 h 57 after F9 3037 arrives on the timetable: more than half a day, so not a connection we count.