I think it has something to do with assists counting as a kill
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That is an interesting thought, and it may be part of the answer, but I know that my assist count averages 30-40% of my kill count in Crucible, so it might add an additional 5,000. 5,000 remain unexplained, in that case.
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Yeah. If you are near one of your teammates and they get a kill you get credited as well and with the same gun they are using, even if you don't have it. Check destinytracker.com