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try incorporate the kiwi symbol more into the swimkiwi name, also I think you are tryng too hard to bring the bird and the silver fearn leaf into the logo. I feel the bird might need to go, no connection to swimming and not internationally recognised as a NZ property whereas the fern is more so
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Ive just added another concept that are along the lines of what you suggested. Perhaps this one's a bit more internationally kiwi?