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This paper introduces a hybrid Tabu Search - Evolutionary Algorithm for solving the binary constraint satisfaction problem, called CTLEA. A continuation of an earlier introduced algorithm, called the STLEA, the CTLEA replaces the earlier compound label tabu list with a conflict tabu list. Extensive experimental fine-tuning of parameters was performed to optimise the performance of the algorithm on a commonly used test-set. Compared to the performance of the earlier STLEA, and benchmark algorithms, the CTLEA outperforms the former, and approaches the later.