The phrase "aware of the complex" is correct and usable in written English.
It can be used when discussing someone's understanding or knowledge of a complicated situation or system.
Example: "She is aware of the complex nature of the negotiations and is prepared to address the challenges ahead."
Alternatives: "cognizant of the complexity" or "mindful of the intricate details".
"Were they aware of the complex nature?" he asked.
Few people are aware of the complex hardships Ms. Masondo has faced her entire life.
Become aware of the complex cognitive, emotional, and behavioral network in which these thought snippets are activated.
The bank contended that the insurance companies were aware of the complex transactions, which later drew the scrutiny of investigators, regulators and shareholders.
The commission hopes to make Americans aware of the complex reasons for hunger and malnutrition, so it can take steps toward a solution.
He is well aware of the complex questions that surround his role as white male performing southern soul, and he is admirably honest about having not yet resolved them.
An elated Mr. Speyer appeared well aware of the complexes' place in the city's culture and the political sensitivity of the sale.
Making citizens aware of how the complex energy system functions and how consumers of energy services can respond to a changing energy environment seems more difficult.
I became aware of the very complex internal organization in a cell from the basic science classes and it made me think about how all that could work.
SUPEC also makes us aware of the increasingly complex – and ironically opaque – industry of urban image-making, requiring diverse kinds of visual and technical expertise beyond that of the built environment professions, and often characterised by commercial or institutional confidentiality.
But you also know, from your time here, to be aware of the savior complex, of the stance where you are the expert or hero who swoops in to save others.
