The phrase "a complex process for" is correct and usable in written English.
It can be used when describing a complicated procedure or method that is intended for a specific purpose or outcome.
Example: "Developing a new software application is a complex process for ensuring user satisfaction and functionality."
Alternatives: "a complicated procedure for" or "an intricate method for".
"Given the instability many witnessed, there were early whispers within the cabinet of invoking the 25th Amendment, which would start a complex process for removing the president," wrote the unnamed official.
In this work a complex process for production of bioethanol, biomethane, heat and power from the wheat straw is introduced and analyzed with regard to pinch and exergy analysis.
The military's difficulty in accounting for the civilian casualties — exacerbated by classified regulations and a complex process for airstrikes — has allowed [ISIS] to advance its own version of the events … [decrying] what It has said are 'continuous American-Iraqi massacres' in [Mosul] and elsewhere.
This has become a complex process for Surrey in recent years.
The allocation process for the ranches is a complex process for communal area pastoralists, especially those without boreholes.
Her inventive, intricate, and tactile collages utilize found objects and employ a complex process for preparing, coloring, mounting, and preserving them.
Angiogenesis is a complex process critical for embryonic development and for survival.
The differentiation of αβT cells from thymic precursors is a complex process essential for adaptive immunity.
Dormancy regulation in vegetative buds is a complex process necessary for plant survival, development and architecture.
But early-decision applications are just part of a complex process that for many students often starts several years before they are seniors and includes private SAT tutors, hired college advisers and long-term strategies designed to make students more attractive to college admissions officers.
The LNG liquefaction plant is a complex process, and for this reason, it is important to understand the design limitations and the process interaction among the different units for plant operation.
