Genesis 1 gives a overall account of the 7 days of creation. Genesis 2 gives a detailed account of day 6. so where exactly are the two different accounts?
It's amazing, people point to the letter of the Bible when it supports their point and claim that what it says is what it is...until the moment when making assumptions best supports their argument, then at that point we are to assume what it doesn't say.
Genesis II says nothing about it being further clarification of Genesis I, and reads as a chronological continuation of God's work after His day of rest.