The phrase "acknowledge the complexity of" is correct and usable in written English.
You can use it when discussing a topic that has multiple layers or intricacies, indicating an understanding of its nuanced nature.
Example: "In our discussion about climate change, we must acknowledge the complexity of the various factors involved."
Alternatives: "recognize the intricacies of" or "appreciate the nuances of".
However, this assumption fails to acknowledge the complexity of the developmental process.
As Knausgaard is at pains to acknowledge, the complexity of life will always remain beyond the scope of even its most scrupulous documenter.
By focusing only on the outward vestiges of success — the liver function tests, her happy persona in clinic, her un-transplant-like life — we failed to acknowledge the complexity of her experience.
It was a time of creative frenzy, sometimes conscious, sometimes not, and only years later did Dylan acknowledge the complexity of his debts and pay them back in full and in his own way.
It is admirable to acknowledge the complexity of issues, but this opens one up, as has been the case with Mr. Blair, to hairsplitting, tortuous argumentation and the appearance of insincerity, which soon loses the respect of its audience.
The acute care surgery (ACS) model was developed to acknowledge the complexity of a traditionally fractured emergency general surgery patient population, however, there are variations in the design of ACS service models.
Another popular idea that children can "learn through play" deeply frustrates many education professionals because its proponents often fail to acknowledge the complexities of teaching and learning.
Correspondents say that the 59-year-old chancellor seemed to acknowledge the complexities of forming a government when she was asked on television if she planned to reach out to other parties.
"It is important to acknowledge the complexities of the rulemaking and its meaning to the diverse array of citizen stakeholders such as the farmer, the rancher, the mineral rights owner, the business owner and the many others that are involved," he wrote.
