2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/167954We provide a new characterization of convex geometries via a multivariate version of an identity that was originally proved by Maneva, Mossel and Wainwright for certain combinatorial objects arising in the context of the k-SAT problem. We thus highlight the connection between various characterizations of convex geometries and a family of removal processes studied in the literature on random structures.14 pages, 3 figures; the exposition has changed significantly from previous versionCombinatoricsDiscrete MathematicsProbability06A07; 52B40; 60C05; 68R05; 68W40text