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We consider the possibility of seaching for CP nonconservation in the process ${\mathit{e}}^{+}$${\mathit{e}}^{\mathrm{\ensuremath{-}}}$\ensuremath{\rightarrow}ZH. The simplest strategy is to measure the forward-backward asymmetry of the Z boson, a nonzero value of which signals CP violation. The effects of CP violation are calculated in the two Higgs doublet model. We show here …