The phrase "a complex and troubled" is correct and usable in written English.
It can be used to describe a situation, relationship, or individual that has multiple layers of difficulty or issues.
Example: "The novel explores the life of a complex and troubled character who struggles with his past."
Alternatives: "a complicated and distressed" or "a multifaceted and troubled".
That relationship, as depicted in the film, is unquestionably a complex and troubled one.
Treiber remained in detention throughout a complex and troubled investigation which has yet to go to trial.
According to Verhoeven, Jesus was a complex and troubled character, a political renegade more along the lines of Che Guevera than, say, Caspar the Friendly Ghost.
"For someone with zero experience to come into this complex and troubled industry proposing the sort of things he is proposing is astonishing," said Mr. McGinley, the law professor.
Her portrait of Dreiser, who is by no means idealized, is of a complex man often troubled, suspicious, and jealous, but also caring and supportive.
His methods are simple and unspectacular — but his vision of humanity, of what the savior saves at the risk of ruining himself, is vastly more complex, imaginative, and troubled.
Donskoi, only 36 years old, unknown outside of Arkhangelsk and perhaps better off for it, would stand little chance in a real campaign to be the leader of a country as sprawling, complex and deeply troubled as Russia.
His adoptive mother, Jill, was a complex, troubled woman who failed to bond with the boy she named after a Welsh chieftain.
His complex and sometimes troubled personality, his marriage to the pianist Clara Wieck, and their subsequent connections with Brahms make him one of the most vivid characters in the annals of music history.
The police soon learned that the muted response had nothing to do with whether the residents of Ocean Towers, a federally subsidized housing complex, were troubled by a thriving drug trade there.
Mr. Bistricer said that most of the violations were at Flatbush Gardens, a large and deeply troubled complex in East Flatbush that he and Mr. Levinson bought about 18 months ago.
