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not sure about the 3 - 6 lb line, but with berkley vanish 12 lb (for summer bass fishing) the ONLY knot that wouldn't break on me is a "double-uni" knot. trilene knot was decent, but still broke off too many times for me... I almost gave up on fluoro line completely till i tried the double uni...
Huh...been using the 2# Vanish for years with a palomar knot on the lure...no issues here