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We study odd parity J=1/2 and J=3/2 Ξc resonances using a unitarized coupled-channel framework based on a SU(6)lsf×HQSS-extended Weinberg–Tomozawa baryon–meson interaction, while paying a special attention to the renormalization procedure. We predict a large molecular ΛcK¯ component for the Ξc(2790) with a dominant 0− light-degree-of-freedom spin configuration. We discuss the differences between the 3/2− Λc(2625) and Ξc(2815) states, and conclude that they cannot be SU(3) siblings, whereas we predict the existence of other Ξc-states, one of them related to the two-pole structure of the Λc(2595). It is of particular interest a pair of J=1/2 and J=3/2 poles, which form a HQSS doublet and that we tentatively assign to the Ξc(2930) and Ξc(2970), respectively. Within this picture, the Ξc(2930) would be part of a SU(3) sextet, containing either the Ωc(3090) or the Ωc(3119), and that would be completed by the Σc(2800). Moreover, we identify a J=1/2 sextet with the Ξb(6227) state and the recently discovered Σb(6097). Assuming the equal spacing rule and to complete this multiplet, we predict the existence of a J=1/2 Ωb odd parity state, with a mass of 6360 MeV and that should be seen in the ΞbK¯ channel.