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We present a Bayesian approach for meta-analytic SEM (MASEM) of correlation matrices. The approach is based on the transformation of sample correlation matrices to an unconstrained vector, a vector that is likely multivariate normal. This approach allows for modeling fixed- and random-effect models, and can also handle dependent correlation matrices, such as clusters of matrices resulting from the same authors within a single MASEM application. The approach is implemented in the bayesianmasem R package, and we demonstrate its application to a real world example. The approach is currently unable to handle missing data, but we identify a path towards resolving this challenge.