The phrase "a completed version of" is correct and usable in written English.
You can use it when referring to a finalized or finished iteration of something, such as a document, project, or piece of work.
Example: "Please submit a completed version of your report by the end of the week."
Alternatives: "a finalized version of" or "a finished version of".
The news that Wilson and his backing band (based around American 1960s revivalists the Wondermints) were going to completely re-record and release Smile, after touring a completed version of it, was enough to cause an outbreak of mild hysteria.
Ernie Brooks put it more succinctly: "He never arrived at a completed version of anything".
Lonergan did deliver a completed version of the film, at just under two and a half hours, which Searchlight accepted in June 2008.
In a strange way, he is still active, still working; if, as is hoped, a completed version of "The Other Side of the Wind" soon emerges, he may confound us once again.
Now Giorgio Battistelli, a leading Italian composer whose operatic version of Al Gore's "An Inconvenient Truth" is set to premiere at La Scala in 2013, has prepared a completed version of "Le Duc d'Albe".
Esa-Pekka Salonen, Mr. Dudamel's predecessor as music director of the Philharmonic, will conduct a completed version of recently uncovered fragments of an opera by Shostakovich, "Orango," about a half-man, half-ape.
Weill and Brecht never sanctioned a complete version of the work, which Brecht often tinkered with over the years.
Recently, staff at the Mattituck-Laurel library in Mattituck, New York, built a complete version of their building in the game.
Other Information on the Web: A complete version of the Circuits Holiday Buying Guide can be found at //www.nytimes.com/2005/12/06/technology/circuits/07guide.html.html
A complete version of the poem, in yet another translation, can be found here if you scroll to the bottom.
