BA 581 then AA 173 at Heathrow
Milan → London → Raleigh-Durham
Timetable, London time
13:55BA 581 from Milan at the gate
13:30AA 173 to Raleigh-Durham leaves the gate
23 h 35 apart on the timetable, overnight
AA 173 leaves 23 h 35 after BA 581 arrives on the timetable: more than half a day, so not a connection we count.