How do you convince two people to not break up?

Jean-Marie_Céline
How do you convince two people to not break up?
As if I didn't have enough problems already, now I have a couple of my few remaining friends that's talking about breaking up.
I think it'd be a shame because I played matchmaker for them and things seemed to go well.
I've spent a good part of the day talking with both of them on the phone, inviting them to think about it throughly and occasionally raising my voice to make a point. Both seemed unconvinced and I said that at least I'll organize a meeting with them and try to mediate the situation.
My fiancée says that my efforts are admirable but to not bother too much with them either, but I want to try everything before declaring defeat.
What else do you suggest I can do?
Updates:
1 d
From what they told me they actually decided to give it another try, and this makes me happy for them.
However, since my fiancée and other people made me notice I got too involved with them, I'll let them do their thing and also stop inviting them around or talking with them as often as I used to.
How do you convince two people to not break up?
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