AZ 614 then DL 5679 at Boston
Rome → Boston → Louisville
Timetable, Boston time
13:45AZ 614 from Rome at the gate
09:55DL 5679 to Louisville leaves the gate
20 h 10 apart on the timetable, overnight
DL 5679 leaves 20 h 10 after AZ 614 arrives on the timetable: more than half a day, so not a connection we count.