DL 2599 then DL 2938 at Atlanta
Madison → Atlanta → Raleigh-Durham
Timetable, Atlanta time
22:59DL 2599 from Madison at the gate
22:58DL 2938 to Raleigh-Durham leaves the gate
23 h 59 apart on the timetable, overnight
DL 2938 leaves 23 h 59 after DL 2599 arrives on the timetable: more than half a day, so not a connection we count.