AA 5307 then F9 3038 at Charlotte
Louisville → Charlotte → Miami
Timetable, Charlotte time
09:53AA 5307 from Louisville at the gate
22:18F9 3038 to Miami leaves the gate
12 h 25 apart on the timetable
F9 3038 leaves 12 h 25 after AA 5307 arrives on the timetable: more than half a day, so not a connection we count.