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The CP-violating phases associated with Majorana neutrinos can give rise toCP-violating effects even in processes that conserve total Lepton number, suchas \mu -> eee+, \mu + e -> e + e and others. After explaining the reasons thatmake this happen, we consider the calculation of the rates for the process ofthe form \ell_a + \ell_b -> \ell_a + \ell_c, and its conjugate \bar\ell_a +\bar\ell_b -> \bar\ell_a + \bar\ell_c, where \ell_a, \ell_b and \ell_c denotecharged leptons of different flavors. In the context of the Standard Model withMajorana neutrinos, we show that the difference in the rates depends on suchphases. Our calculations illustrate in detail the mechanics that operate behindthe scene, and set the stage for carrying out the analogous, more complicated(as we explain), calculations for other processes such as \mu -> eee+ and itsconjugate.Comment: Latex, axodraw, 24 page

CP-violating Majorana phases, lepton-conserving processes, and final state interactions