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Hello, My name is Terri.It is my pleasure to assist you today!I am reviewing your question right now and will reply in a few minutes.
I am sorry your BF's cat ran out. Cats are crepusular which means they are most active dawn and dusk.If your BF could go out at one of those times and walk around calling her name she may come to him.
Open a window or the garage door just enough for her to enter. Leave food, water and her litter box just inside.
If she does not come in on her own any rescue will lend you a hav a heart trap.
Bait it with food and leave it in spots where she has been seen.
Please let me know what happens.
Best wishes and prayers for her safe recovery,