The phrase "a just completed" is not correct in written English.
It should be "a recently completed" or "a just-completed" when used as a compound adjective.
Example: "We celebrated a just-completed project that exceeded our expectations."
Alternatives: "a recently finished" or "a newly completed".
Next to a swimming pool stood a just completed multipurpose bungalow — three-bay garage, screening room downstairs, office upstairs.
According to a just completed study by the New America Foundation, the number of drone strikes has risen dramatically since Obama became President.
In a just completed study, researchers at Northwestern University found that people were more likely to solve word puzzles with sudden insight when they were amused, having just seen a short comedy routine.
But in May I'd seen the high river level lapping over a just completed riverside park in Quincy, and I'd heard from my parents about all the rain since.
She must have spent at least one day in our hotel room doing me the favor of reading the manuscript of a just completed draft of my book: I remember that, because her suggestions were invaluable to me.
At the age of eleven, he was sent, by train, along a just completed rail line, to a small settlement in Oregon, to live with an uncle, who treated him coldly and loaded him down with chores.
Before a just- completed face-lift at the restaurant - Mrs. Helmsley has been dead for nearly three years - it was Mindy's.
A census just completed shows total numbers have rebounded from their low point.
Euro 2004 was a strong, formative experience for him as a teenager, having just completed a debut season with United.
O'Neal, a 15-year veteran, just completed an injury-riddled regular season for Boston.
A friend whose wife had just completed a course of chemotherapy had warned me about this.
