AA 1121 then AA 5853 at Charlotte
Los Angeles → Charlotte → Lynchburg
Timetable, Charlotte time
15:44AA 1121 from Los Angeles at the gate
15:35AA 5853 to Lynchburg leaves the gate
23 h 51 apart on the timetable, overnight
AA 5853 leaves 23 h 51 after AA 1121 arrives on the timetable: more than half a day, so not a connection we count.