The phrase "a difficult production" is correct and usable in written English.
It can be used to describe a challenging process or task related to creating something, such as a film, play, or any other form of artistic work.
Example: "The team faced numerous challenges during the filming, making it a difficult production from start to finish."
Alternatives: "a challenging project" or "a tough undertaking".
I played her once in a difficult production at ENO, and I think people now assume that I can't play her.
World War Z suffered from a difficult production period, with drastic reshoots and rumours of on-set problems between Pitt and director Mark Forster.
Miller had just returned from a difficult production of "La Boheme" at Paris's Bastille Opera, which starred the young tenor Roberto Alagna, whose fame irritated the director.
It was a difficult production — Guirgis kept rewriting all the way through the previews — but the critical notice, during the play's four-month run, was mainly kind.
It's really true, especially that movie, which is really a motherfucker, a difficult production thing, there is aerial combat stuff, dogfight stuff, and there is stuff on a lifeboat on an open sea.
It was a difficult production; director Garson Kanin later wrote: "In the ten days prior to the New York opening all the important relationships had deteriorated.
"I had a very difficult production problem," Mr. Winkler said, "because you can't get anybody to allow you to shoot on their street for three or four months, with construction and all that stuff.
This rousing epic was disowned by director Stanley Kubrick after a contentious, difficult production, but "Spartacus" still offers grand-scale entertainment, thanks to bold, sure-handed direction and a powerhouse cast.
There is a widespread understanding that Gazprom's decision to pull the plug on Shtokman, a huge Arctic gas field that it had long feted as Russia's flagship foray into a new and difficult production region, was prompted by increasing US reliance on shale.
Natural precursors are characterized by the presence of a variety of admixtures that make difficult production of pure aluminas.
The story of that difficult production is the subject of a Simon Curtis film, "My Week With Marilyn," due later this month with Michelle Williams and Kenneth Branagh as Monroe and Olivier.
