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Measurement of integrated cross section of the proton-deuteron scattering with vector polarized (p_y) proton and tensor polarized (P_zx) deuteron provides a null-test signal of the time-invariance violation under P-parity conservation. This statement is proved here using representation of M. Rekalo et al. (1998) for the transition amplitude for elastic pd-scattering in forward direction. Energy-dependence of this observable is calculated and influence of the Coulomb interaction is investigated. Possible falsh -effects are studied.