The phrase "an elaborate process" is correct and usable in written English.
It can be used to describe a procedure or method that is complex and involves many detailed steps.
Example: "The project requires an elaborate process of planning, execution, and evaluation to ensure its success."
Alternatives: "a complex procedure" or "a detailed method."
At P.C.P., workers first random-sample the tomatoes in an elaborate process that determines both where on the processing line the tomatoes wind up (an algorithm decides which fruit from which gondolas to combine for the best-tasting sauce, for example) and the exact amount the growers are paid for that load.
It's really quite an elaborate process".
It's an elaborate process undeterred by its futility.
It's an elaborate process, involving moving different types of cattle and goats between farms.
Through an elaborate process involving consultation between resettlement agencies, about 170 Bhutanese refugees have been placed in New York.
He would establish an elaborate process where Congress would vote to disapprove instead of approve a debt limit request.
Medical evaluation procedures vary and range from a simple confirmation of the person's diabetes from a physician to a more elaborate process involving a state medical advisory board, hearings, and presentation and assessment of medical evidence.
"What was before a pro forma request now turned into a very elaborate process with a lot of waiting time," says Steven Roy Goodman, co-author of "College Admissions Together: It Takes a Family".
The crack entry seen in Chamaecrista (i.e. infection not via root-hair), followed by variable response by the plant (formation of a persistent vs. a transient membrane), both suggest a less elaborate process than the process found in most papilionoids, involving root-hair curling and formation of an infection thread in advance of the bacteria's path [44], [47].
The Hindu philosophical school of Yoga, for example, prescribes a highly elaborate process for the purification of body, mind, and soul.
This is the heat treatment of silcrete, which is an indifferent material for stone tool-making until it has been fire-hardened in a very elaborate process that almost certainly does indicate the "elevated cognitive ability" claimed by the excavation team (Brown et al. 2009: 859).
