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We investigate the thermodynamic properties of color-superconducting two flavor quark matter at high densities and zero temperature, considering the next-to-leading order (NLO) correction in the strong coupling and the gap. Assuming that the ground state of dense quark matter is a color superconductor, we calculate the pressure and speed of sound for two massless quark flavors. Our results show that the NLO correction is comparable to the leading-order effects, increasing both pressure and speed of sound. Finally, we provide a parameterization of the speed of sound and discuss implications for three-flavor quark matter relevant to neutron stars.