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We present a search for the baryon number B and lepton number L violating decays ^- ^- and ^- ^- produced from the e^+e^- ^+^- process, using a 364 fb^-1 data sample collected by the Belle~II experiment at the SuperKEKB collider. No evidence of signal is found in either decay mode, which have | (B-L) | equal to 2 and 0, respectively. Upper limits at 90\% credibility level on the branching fractions of ^- ^- and ^- ^- are determined to be 4. 7 10^-8 and 4. 3 10^-8, respectively.
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