i've found the following definition (Longman Dictionary of Contemporary English)
come through phrasal verb
1 if a piece of information, news etc comes through, it arrives somewhere: We're still waiting for our exam results to come through.
There is news just coming through of an explosion in a chemical factory.
2 to be made official, especially by having the correct documents officially approved: I'm still waiting for my divorce to come through
I hope it helps you a little
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