We note that in decays of the type B-0 --> (PPX0)-P-0-X-0, where P-0 and X-0 represent any CP eigenstate spin-0 neutral particles, the final state is a CP eigenstate. We consider the possibilities for studying time-dependent CP violation in decays of this type at B factories with high luminosity, with particular attention to B-0 --> (KSKSKS0)-K-0-K-0. We also comment on some cases where X-0 has S S S non-zero spin, and decays of the type B-0 --> P(0)Q(0)X(0), where the three final state particles are different spin-0 CP eigenstates. (C) 2004 Elsevier B.V. All rights reserved.