Mr Turhan was last seen in The Globe pub on Rainsford Road in Chelmsford in the early hours of 19 November.
Police said he may have later been in Barista, a bar and restaurant in Duke Street, however, CCTV did not show him leave the venue.
Later that evening he was reported missing after he failed to arrive at work.
Det Ch Insp Metcalfe said: “Their [officers’] hard work has continued unabated even during the extreme weather to support detectives who have worked quickly to progress the extremely challenging investigation.
“Throughout this difficult time, we have been in regular contact with Cumali’s family. They will continue to be supported by specialist officers as it will take some time for them to come to terms with this news.”