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If the spun part ends abruptly or is very thin, I will make sure to fluff it out, and even move back up to a thicker part to ensure there is enough fiber for a good join.
Also, I hold the joining part of overlapping fibers when I first start putting twist in, waiting to feel the twist between my fingers before moving back to uncover more unspun fiber.
If I really pay attention and don't try to take it too fast, that usually works for me and is usually indistinguishable from the non-joined parts.
(based on a posting by me on spindlers, 12/17/2001)
(drawing is (c) The Bellwether, from Spindling: The Basics. Used with permission)