AA 581 then KJ 248 at O'Hare
Miami → Chicago → Atlanta
Timetable, Chicago time
09:30AA 581 from Miami at the gate
05:10KJ 248 to Atlanta leaves the gate
19 h 40 apart on the timetable, overnight
KJ 248 leaves 19 h 40 after AA 581 arrives on the timetable: more than half a day, so not a connection we count.