Based on the Regge phenomenology, we first study the mass relations for six mesons involving three flavors in one spin-parity multiplet. Using the examined mass relation, mass of the unobserved vector doubly heavy charm-bottom Bc*(13S1) is calculated. Masses of the unobserved radial excited vector (23S1) mesons and the orbital excited 13G5 meson nonet are given. Our predictions are discussed. We suggest searching Bc* near 6355 MeV. D(2600) and Ds1(2700) can be considered as candidates for nc(23S1 and sc(23S1) dominated states, respectively. We suggest searching B*(2S), Bs*(2S) and Bc*(2S) near 5812, 5917 and 6896 MeV, respectively. We suggest restudying 5(2350) near 2259 MeV, searching 5(13G5) near 2438 MeV and identifying 5(2250) as isoscalar member of 13G5 nonet. The results may be profoundly useful for the JP assignment of related states and the discovery of the unobserved excited mesons.