Is there a paradox in CP asymmetries of τ± → KL,Sπ±ν decays?

Based on the description of unstable K-L,K-S particles in quantum field theory (QFT), we compute the time-dependent probabilities for transitions between asymptotic states in tau(+/-)->[pi(+)pi(-)](K)pi(+/-)nu decays, where the pair [pi(+)pi(-)](K) is the product of (intermediate state) neutral kaon decays. Then we propose a definition of tau decays into K-L and K-S states, which reflects into the cancellation between their CP rate asymmetries, thus solving in a natural way the paradox pointed out in [I. I. Bigi and A. I. Sanda, Phys. Lett. B 625, 47 (2005).]. Since our definition of K-L,K-S final states in tau decays is motivated on experimental grounds, our predictions for the integrated CP rate asymmetries can be tested in a dedicated experiment.