The phrase "a complex act of" is correct and usable in written English.
It can be used to describe an action or behavior that involves multiple components or is difficult to understand or execute.
Example: "Negotiating a peace treaty is a complex act of diplomacy that requires careful consideration of various factors."
Alternatives: "a complicated process of" or "a multifaceted action of".
Your government has forced itself, through a series of almost unthinkable blunders, to pursue an impossibly complex act of national self-harm for blinkered ideological and short-sighted electoral-pragmatic reasons – and let's face it: you're on board with this project too, but still no one seems able to agree about the extent to which the nation ought to harm itself, and how.
Assertion is construed as a complex act constituted by two parts: an act of meaning, which is accompanied by a conviction (1911a, 107).
Prescribing is a complex act as it requires consideration of the diagnosis, the response to previous medicines prescribed to treat the problem, guidelines on the condition, and the preferences and characteristics of the patient.
Testimony is a complex act that contributes significantly to the elaboration of mourning, both individually and on a collective level.
Surgical resection of a malignant tumor in the head and neck regions quite often alters the complex act of swallowing.
Braque was never much for figures; his abiding, even monogamous, interest lay in the complex act of perceiving and painting accumulations of objects, in his studio.
Fortunately, the show emphasizes the artist's fictive Bureau for the Investigation of the Subliminal Image, or B.I.S.I., and takes art-about-art beyond jokes to the complex act of visual perception, especially in museums.
The ability to check the waves without going to the beach and the seemingly simple yet vastly complex act of predicting waves has also altered the world of surfing.
It simplifies the complex act of managing the underlying infrastructure.
