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Searches for CP violation in the decays D(s)+ -> ηπ+ and D(s)+ -> η'π+ are performed using pp collision data corresponding to 6 fb(-1) of integrated luminosity collected by the LHCb experiment. The calibration channels D(s)+ -> ηπ+ and D(s)+ -> ϕπ+ are used to remove production and detection asymmetries. The resulting CP-violating asymmetries are