AA 2609 then DL 2959 at Atlanta
Miami → Atlanta → Wichita
Timetable, Atlanta time
20:15AA 2609 from Miami at the gate
20:12DL 2959 to Wichita leaves the gate
23 h 57 apart on the timetable, overnight
DL 2959 leaves 23 h 57 after AA 2609 arrives on the timetable: more than half a day, so not a connection we count.