"sophisticated thinking" is correct and usable in written English.
You can use it to describe a thought process that is more complex or advanced than usual. For example, "The lawyer approached the case with sophisticated thinking, and eventually won the trial."
Once conservatives admired Churchill and Lincoln above all — men from wildly different backgrounds who prepared for leadership through constant reading, historical understanding and sophisticated thinking.
We've convinced ourselves that they can do everything — even measure sophisticated thinking processes such as "Historical Analysis and Interpretation". As our study suggests, confidence in the multiple-choice question as a one-stop shop for all kinds of assessment is misplaced.
The document also reflects more sophisticated thinking within MI5 about the process of radicalisation, making clear that the security services do not think there is a single cause or pathway to extremism.
More sophisticated thinking aids could implement other successful techniques as well.
We created unique design, which besides artistic value, carries sophisticated thinking and sustainable function.
Mr. Young's shows generally suggest sophisticated thinking about frequencies and pain thresholds, but this was something else again.
Already famous for swimming through sewers and surviving under subway rails, rats can now claim a more sophisticated talent: thinking about thinking.
At Columbia, we must bring our most advanced thinking and most sophisticated methods to bear on achieving greater justice.
More important than any particular doctrinal change, is the development of a more sophisticated framework for thinking about issues of Seminole Rock's domain, so that these issues and problems can be confronted squarely and explicitly.
All of the above have been established in pursuit of understanding, developing and promoting drawing, and many inside and outside the sector endure to evidence drawing as both the most sophisticated means of thinking and communicating, and an activity for all.
More specifically, they describe "successively more sophisticated ways of thinking" within a content domain "that can follow one another as (students) learn about and investigate a topic over a broad span of time" (National Research Council 2007, p. 219).
