AA 5982 then AA 3134 at Charlotte
Fayetteville → Charlotte → Las Vegas
Timetable, Charlotte time
11:21AA 5982 from Fayetteville at the gate
11:20AA 3134 to Las Vegas leaves the gate
23 h 59 apart on the timetable, overnight
AA 3134 leaves 23 h 59 after AA 5982 arrives on the timetable: more than half a day, so not a connection we count.