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Massless higher-order gravities are Einstein gravity extended with appropriate higher-order curvature invariants such that the linearized spectrum in their AdS vacua contain only the massless graviton. By studying their holographic properties we are able to obtain a few universal relations in the dual CFTs that are independent of the specific details of the theories. These include the relations between the overall coefficient of the two-point function of the energy-momentum tensor and the conformal central charges.