Recently, we have performed the experiment on studying the pion electroproduction at photon point on the internal polarized deuterium target at the VEPP-3 storage ring. For the more complete treatment of the reaction d(e,pp)X we investigate the reaction channel with an additional neutral pion production as background to the leading reaction of the single negative pion production. To study this background process we considered the nucleon pole mechanism and the two-body mechanism. In the latter mechanism a Delta(1232) and the pion are produced in one nucleon then the pion is absorbed by other nucleon producing just one more Delta (1232). The final proton-pion systems come from the decay of the both Deltas. In this work we have estimated the contribution of the reaction with additional neutral pion production into the whole yield for the different polarization states of the deuteron in the kinematic conditions of the VEPP-3 d(e,pp)X - experiment.