How close can two Earths be without becoming tidal locked?

I have decided to change the numbers to make it easy on Hohmannfan. These two planets, for all intents and purposes, are identical to Earth, with he moon replaced by another Earth. So now the question is, how close can these two earth's be without being tidal locked?

Since it seems necessary to say it, the planets must be stable for about a trillion years.

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How close can two Earths be without becoming tidal locked?

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