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In recent years, E-mobility relevance has increased in the automotive sector, yet pure electric vehicles struggle to establish themselves in the still internal combustion engine (ICE) dominated sector of L-category and powersport applications. Battery electric hybrid L-category vehicles, as considered in this paper, combine both ICE and electric powertrains. Nowadays, numerous ICE L-category vehicles use rubber V-belt continuous variable transmissions (CVT) due to their reliability and user-friendliness, which often outweighs the drawback of relatively low efficiency. This paper not only aims to show, with the help of longitudinal dynamic simulation (LDS), how a state-of-the-art L-category ICE powertrain with special focus on the CVT can benefit from hybridization in terms of overall efficiency, but furthermore points out where the efficiency increase actually comes from and how this new knowledge can be implemented intelligently into a hybrid strategy.