I think a lot of people will be reading this thread and feeling quite upset about the fact that they DO argue.
I think it possible that some people, including me and dh, do find living with another person whose personality is different from yours to be a challenge. But somehow we don't feel that the problem is insoluble. I think you search for ways to communicate better and it takes a massive amount of heartache and soul searching to find what it is you are actually arguing about. what you want from each other and from life, that you are not getting, that is making you argue in the first place. And what do you want to give back to the other person.
I remember reading Sheila Hancock talking about John Thaw (Inspector Morse) and she was talking about how "forgiveness" was an essential part of marriage. And yes, you constantly having to forgive the other person when they let you down in ways that you never expected to mind.
today we argued about the teastrainer (dh has to keep buying new teastrainers when I don't put them back in the right place. I have no interest in teastrainers as I'm very good at managing these things without gadgets) and dogs (I want one, dh doesn't) It is difficult to know how to avoid those sort of arguments unless we were saints and had consulted some sort of celestial checklist on the duties of married people before we met up. You need to have a heart to heart about the background issues before you can ever hope to avoid those arguments.
I think the question is a bit of red herring as some posters have said, it is not about how you resolve arguments, but how the arguments even started in the first place that is the issue.
No, I think that when you go beyond the level of words and try and reengage on some emotional level, touch, kindness, forgiveness, understanding then arguments ARE resolved. The more you put up with each other the better you get at it, as long as it is a two way thing not just an eternal racket.
Which some people do get hooked on, just bickering and enabling each other's anger.