The problems related to the existence of the spurious dipole mode (SDM) in self-consistent nuclear-structure models are considered. A method is formulated that allows one to eliminate the coupling of the SDM with the physical modes in the extended random-phase approximation (ERPA) theories, in particular, in the time blocking approximation (TBA), which is a model of the ERPA type. It is shown that the application of this method in realistic TBA calculations of the
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excitations gives results which are very close to the results of TBA calculations without using this method if the bare external-field
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operators are replaced by effective ones.