AA 2609 then DL 3093 at Atlanta
Miami → Atlanta → Louisville
Timetable, Atlanta time
20:15AA 2609 from Miami at the gate
19:15DL 3093 to Louisville leaves the gate
23 h apart on the timetable, overnight
DL 3093 leaves 23 h after AA 2609 arrives on the timetable: more than half a day, so not a connection we count.