The phrase "a complex task involving" is correct and usable in written English.
You can use it when describing a task that requires multiple steps, skills, or considerations, often in a professional or academic context.
Example: "The project is a complex task involving coordination between various departments and extensive research."
Alternatives: "a challenging task that includes" or "a multifaceted task requiring".
Thousands of men passed through this network, and keeping track of security and logistics was a complex task involving a team of people.
Composite Web services development is a complex task involving specification, verification, implementation, and testing.
Engineering large industrial construction projects is usually a complex task involving several co-operating actors.
The optimal design of buildings is a complex task involving energy systems as well as construction measures.
Comprehensive characterisation of drug delivery to the lungs is a complex task involving the determination of delivered, deposited and (for systemically-targeted drugs) absorbed dose.
Optimal planning of the power sector with consideration of carbon mitigation for a long-term future remains a complex task, involving many technical alternatives and an infinite number of possible plants installations, retrofitting, and decommissioning over the planning horizon.
In short, we do contend that reading is a very complex task involving a very broad network with feed-forward and feed-back loops, yet, we reason that studying its main components during simple tasks using forward model should be enough to highlight main stream differences between conditions.
Identifying the spatial filter w k through Equation 19 is a very complex task involving Rnn,k estimation and inversion plus hx,k estimation.
Modelling of the absorber and desorber of a CO2 capture process is a challenging and complex task involving a range of physical and chemical phenomena.
This complex task involves the study and the definition of critical spatial and organizational relationships to ensure adequate capacity across the entire system.
Decommissioning of uranium graphite reactors is a combination of complex tasks involving the selection of appropriate methods and techniques for the radioactive graphite handling.
