The phrase "a convoluted one" is correct and usable in written English.
It can be used to describe something that is complex, intricate, or difficult to understand, often referring to a situation, argument, or explanation.
Example: "The explanation he provided was a convoluted one, making it hard for anyone to follow his reasoning."
Alternatives: "a complicated matter" or "an intricate issue".
The story of how the book came to light, which Christopher Rothko describes in his introduction, is a convoluted one.
The life story of Mr. Smith, the onetime principal of Upper Merion Area High School in King of Prussia, Pa., was a convoluted one.
When Drummond appears, the McDonald's workers listen to his introductory speech in a silence that could either be rapt (he's extremely charismatic) or just bewildered (the explanation is quite a convoluted one, involving recreating the sound of a choir that he could hear singing in his head).
AOL also offers some opt out options for its interest-based ad program — detailed here — although the process of opting out of its tracking techs is a convoluted one, given it can require users to re-opt out if they clear their cookies or use a different browser.
The story that emerges is a convoluted one, full of dealing in which the interests and the assets of the Bouygues family were repeatedly mingled with those of Bouygues SA.
The tale, like so much in Washington, is a convoluted one, but it comes down to this: Last year, the National Mediation Board changed a rule to make it easier for airline and railroad workers to unionize with a straight majority vote.
Swansea City are said to be believe the answer to their problems is a long, convoluted one with obtuse jargon and a positive emphasis on the fact the club is riding high one point above the team who beat the reigning champions last weekend.
The story behind Hundreds' Aftermath Remixes EP is a long and convoluted one.
The situation in Thailand is an incredibly messy and convoluted one at present.
Salmond leapt in with a 2014 date and a much clearer question than the convoluted one he'd previously proposed.
There are corny gags and convoluted ones, including the blissful quip that begins: "If you Google 'lost medieval servant boy'...".
