DL 706 then DL 1097 at Atlanta
Denver → Atlanta → Raleigh-Durham
Timetable, Atlanta time
18:01DL 706 from Denver at the gate
17:29DL 1097 to Raleigh-Durham leaves the gate
23 h 28 apart on the timetable, overnight
DL 1097 leaves 23 h 28 after DL 706 arrives on the timetable: more than half a day, so not a connection we count.