Also notice that, beginning with Gen 1:1 and going through Gen 2:3 there was a different author writing that, for in Gen 2:4 it BEGINS to refer to God as "the LORD God" and not just "God." That is found in every Bible I've ever seen. Also, the writing style is slightly different between Gen 1:1-2:3 and Gen 2:4-- for the former mentions "evening, morning, and the numbered day," while the latter mentions only the events and not the time at which they took place, and indicates a change in authors, which would also explain the slight confusion, if you're still not understanding.
No, I understand it's two authors. That's why I have an easy time explaining the discrepancies between Genesis accounts by assuming they're two different stories about the same thing. It's not unreasonable for me to assume that the writers of the Hebrew bible synthesized two similar but different genesis stories, from two separate oral traditions (brought together by a desire to have a written bible, perhaps.)
But then, I'm not constrained by the belief that the bible is to be taken literally, so I don't have to use textual gymnastics to rationalize discrepancies.
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