AA 5585 then AA 5873 at Charlotte
Louisville → Charlotte → Lynchburg
Timetable, Charlotte time
20:41AA 5585 from Louisville at the gate
17:30AA 5873 to Lynchburg leaves the gate
20 h 49 apart on the timetable, overnight
AA 5873 leaves 20 h 49 after AA 5585 arrives on the timetable: more than half a day, so not a connection we count.