H1 and ZEUS combined differential cross-sections for inclusive $D^{*\pm}$ production in deep-inelastic $ep$ scattering at HERA. The cross-sections are combined in the common visible phase-space region of photon virtuality $Q^2 > 5 \text{GeV}^2$, electron inelasticity $0.02 < y < 0.7$, and the $D^{*\pm}$ meson's transverse momentum $p_T(D^*) > 1.5 \text{GeV}$ and pseudorapidity $|\eta(D^*)| < 1.5$. The combination procedure takes into account all correlations. Double-differential cross sections $d2\sigma/dQ^2 dy$ are combined with earlier $D^{∗\pm}$ data, extending the kinematic range down to $Q^2 > 1.5 \text{GeV}^2$.