AA 853 then AA 5853 at Charlotte
Las Vegas → Charlotte → Lynchburg
Timetable, Charlotte time
15:50AA 853 from Las Vegas at the gate
15:35AA 5853 to Lynchburg leaves the gate
23 h 45 apart on the timetable, overnight
AA 5853 leaves 23 h 45 after AA 853 arrives on the timetable: more than half a day, so not a connection we count.