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I have a 120 day late (3+ years) old on my CR and more score are what you see in my sig). I have an open mortgage and auto loan and I PIF my credit cards so my util is either 0% or 1% (sice FICO) rounds up. MY AAoA is 10 + years.
Your scores will be dominated by the 120 day late until it falls off but even with the 120 day late I was able to get a prime CC and an autoloan from my CU at their best rate.
You probably wont get to 800 until it falls off but you probably will be able to get the credit you need though.