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We study the constraints on flavour violating terms in low energy SUSY comingfrom several processes as li -> lj gamma, li -> lj lj lj and mu -> e in Nuclei.We show that a combined analysis of the processes allows us to extractadditional information with respect to an individual analysis of all theprocesses. In particular, it makes possible to put bounds on sectors previouslyunconstrained by li -> lj gamma. We perform the analysis both in the masseigenstate and in the mass insertion approximations clarifying the limit ofapplicability of these approximations.Comment: 23 pages, 15 figures. Typos corrected, several references and  equations added. Results and conclusions completely unchanged. Accepted  version for publication in JHE

Constraints on SUSY lepton flavour violation by rare processes