Technically that splice is not correct and if you were paying someone to build it that wouldn't be acceptable. As the wood shrinks the gap between the two boards will widen a bit. I would glue and nail a third board on the backside, sandwiching in the buttsplice. This board doesn't need to be in the saddles over the posts, but it will beef up that beam considerably.
That said if you left it you would probably never have an issue, but that's the farmer in me talking. :P
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