Between Adam and Solomon was not before history, before Adam, that's the problem.
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The bible keeps perfect record of how long the earth existed before Adam. It was just a few days.
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You are very mislead. The word day has many different meanings, it's actually used in at least four different ways in Genesis. Plus there's an unspecified amount of time between Genesis verse 1 and 2. You can't win this argument, you lack a basic understanding of the bible.