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This paper summarizes the relevance of neutrinoless double-beta decay for neutrino physics and the implications of this phenomenon for crucial aspects of particle and astroparticle physics. After discussing general experimental concepts, like the different proposed technological approaches and the sensitivity, the present experimental situation is reviewed. The future searches are then described, providing an organic presentation which picks up similarities and differences. As a conclusion, we try to envisage what we expect round the corner and at a longer time scale.
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