The phrase "a complex operation involving" is correct and usable in written English.
It can be used when describing a task or process that requires multiple steps or components, often in technical or scientific contexts.
Example: "The project requires a complex operation involving data analysis, algorithm development, and system integration."
Alternatives: "a complicated process that includes" or "an intricate task involving".
American officials said this was a complex operation, involving the transfer through several countries of Mr. bin Laden and at least two dozen of his associates.
The assault, a complex operation involving several car bombs and a battery of rocket-propelled grenades, killed at least 19 people, most of them police officers, according to Afghan officials and witnesses.
Assembly of a Fat Man unit was a complex operation involving personnel from the HE-ME, Pit, Fusing and Firing teams.
This project is a complex operation involving many people at facility, country, continental and global levels.
For a more complex operation involving an inner loop over the unknown number of dimensions, the ImgLib2 code was on average 1.6× slower than native arrays (1.5× slower than ImageJ).
Project Babylon, the plan to build it, would turn out to be a huge and complex operation involving millions of dollars and dozens of illicit Iraqi arms-running operations.
The chapter discusses the complex operations involved in a typical GIS operation, such as allocation and location of resources.
But at each step of the complex operations involved, each bit has a definite value.The same cannot be said of many properties in quantum physics, such as the spin of an atomic nucleus (loosely speaking, which way it is pointing) or the position of an electron orbiting such a nucleus.
Our artists, Kalpakjian and Arcangel, do not have to enter the strings of digits for every basic operation of the computer that underlies the complex operations involved in describing and manipulating images.
Officials said tonight that the United States attack on five Libyan targets was a complex operation that involved separate attacks by Air Force and Navy planes and the use of aircraft for refueling, intelligence and electronic jamming, The operation involved two strikes on separate regions of Libya, the officials said.
"This was a complex operation and involved a great level of coordination from the time the drugs were intercepted in Darwin to being traced through to Sydney where the arrest has been made," said an Australian federal police spokesman, Mark Setter.
