This is my first time applying to these programs, so I don't have a lot of experience in these matters. I would go ahead and contact them. The SOP is a really big deal. Re-word either one's closing paragraph and ask them if you can replace that document. I have had to make some changes on my applications, and everyone has been really nice. Hopefully the people putting your application together won't be the same people reviewing it. Good Luck.
Sorry. I just read your edit.