Interferometric observations of radio sources have revealed that if the distance to these sources is correctly given by their redshifts, then the components of these objects exhibit apparent velocities of expansion in excess of the velocity of light. In the present paper, it is shown how this paradox can be reconciled by a simple kinematic model that takes the transverse Doppler effect into account. From the analysis, it appears that large local motions may be present in highly luminous objects and that such motions can contribute significantly to the observed redshifts of such objects.