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A search for K0SðLÞ → πþπ−μþμ− decays is performed using proton-proton collision data collected by the LHCb experiment at a center-of-mass energy of 13 TeV, corresponding to an integrated luminosity of 5.4 fb−1. No K0SðLÞ → πþπ−μþμ− signals are found and upper limits are set for the first time on the branching fractions BðK0S → πþπ−μþμ−Þ < 1.4 × 10−9 and BðK0L → πþπ−μþμ−Þ < 6.6 × 10−7, at the 90% confidence level.