AA 581 then FX 9791 at O'Hare
Miami → Chicago → Anchorage
Timetable, Chicago time
09:30AA 581 from Miami at the gate
04:00FX 9791 to Anchorage leaves the gate
18 h 30 apart on the timetable, overnight
FX 9791 leaves 18 h 30 after AA 581 arrives on the timetable: more than half a day, so not a connection we count.