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In this article, we study the ${3\over 2}^+$ heavy and doubly heavy baryon states $\Xi^*_{cc}$, $\Omega^*_{cc}$, $\Xi^*_{bb}$, $\Omega^*_{bb}$, $\Sigma_c^*$, $\Xi_c^*$, $\Omega_c^*$, $\Sigma_b^*$, $\Xi_b^*$ and $\Omega_b^*$ by subtracting the contributions from the corresponding ${3\over 2}^-$ heavy and doubly heavy baryon states with the QCD sum rules, and make reasonable predictions for their masses.
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