The phrase "a complicated sort of" is correct and usable in written English.
It can be used to describe something that is complex or difficult to understand, often in a nuanced or indirect way.
Example: "The project turned out to be a complicated sort of puzzle that required collaboration from multiple departments."
Alternatives: "a complex kind of" or "a tricky type of".
It's a complicated sort of ventriloquism.
And it made me feel a complicated sort of sadness.
Mayweather was a complicated sort of boxing star, but Golovkin would not be.
Scholars who studied the ghetto tended to be motivated by sympathy for its residents, which often resulted in a complicated sort of sympathy for ghettos themselves.
"Oblivion" never appeared on any Billboard chart, but last year Pitchfork, the definitive indie publication, called it the best song of the decade so far, which was a complicated sort of compliment.
Gowdy, the South Carolina Republican, likes to tell Gabbard that she is "the most Christlike member of Congress," a complicated sort of compliment that says something about the way we try to reconcile spiritual traditions that are ultimately incommensurable.
The whip-smart Israeli pavilion, overseen by Milana Gitzin-Adiram, Erez Ella and Dan Handel, is about a more complicated sort of common ground: the endlessly fraught relationship between the United States and Israel and how in the last four decades it has played out in cultural, political and architectural terms.
[long pause] Not the least complicated sort of situation, is it?" — these are among the hundreds of interruptions that occur during the programs, whenever the disc jockeys choose to fling the "wild" tapes to the engineers and the engineers are able to insert them.
Albarn also stated that the song describes a complicated emotion, sort of "sleepy" and sort of "sexy".
But, again, since I didn't show the data, and it was [a] complicated sort of situation where we didn't have enough time, it was really about, as I understood it and my co-authors understood it, it was really about representing this is what we found, this is the observations we made, in a way that a community could understand.
There will be a "secret sauce" of some sort, usually a complicated set of mathematical algorithms meant to insure better returns than the market in general delivers.
