<p>Nonlocal integrable systems have attracted the increasing attention in recent years, and various scalar nonlocal modified Korteweg-de Vries (mKdV)-type equations have been widely investigated as the important models in mathematical physics and nonlinear science. In this work, we investigate three nonlocal variants of the extended complex mKdV (ecmKdV) equation, corresponding to the reverse space, reverse time, and reverse space-time reductions. Using the improved Hirota method, we derive the bilinear form of the reverse space-time nonlocal ecmKdV equation, and construct the explicit one- and two-soliton solutions for the reverse space, reverse time, and reverse space-time nonlocal ecmKdV equations through certain variable transformations. Furthermore, the asymptotic behavior of the two-soliton solutions for the reverse space-time nonlocal ecmKdV equation is analyzed. Additionally, through certain variable transformations, Lax pairs and conservation laws of those nonlocal ecmKdV equations are constructed under the Ablowitz-Kaup-Newell-Segur procedure.</p>