AA 1509 then DL 5142 at Atlanta
Cleveland → Atlanta → Fayetteville
Timetable, Atlanta time
09:08AA 1509 from Cleveland at the gate
08:38DL 5142 to Fayetteville leaves the gate
23 h 30 apart on the timetable, overnight
DL 5142 leaves 23 h 30 after AA 1509 arrives on the timetable: more than half a day, so not a connection we count.