Great news!
In my experience they stroll home just after you have put up posters and leafleted the neighbourhood!
My Bengal cat, Saffron went missing for a week a few years ago. Since then she has been going on her 'holidays' about once a month, always returning well fed. She was once seen in the next village about 3 miles away across fields, so guess she goes there. Although she always returns, I am still apprehensive all the time she is away.