Had they have gone to the same place, they would have talked to one another.
Is the sentence above acceptable? If not, then what is a proper way of saying this?
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I think what you are trying to say is related to what is known as third conditional, which is used for things that didn't happen in the past. Here are a couple of examples that might be of help:
If he hadn't gone to school, he wouldn't have had an accident.
This means that he did go to school and that's why he had an accident. We are just adding a condition. Period.
It can also be said the following way:
Hadn't he gone to school, he wouldn't have had an accident.
It means the same thing. Just a bit shorter.