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The phrase "a complete system of" is correct and usable in written English.
You can use it when describing a system that is fully developed or comprehensive in nature, often in technical or academic contexts.
Example: "The research team developed a complete system of data analysis that integrates various methodologies."
Alternatives: "an all-encompassing system of" or "a comprehensive framework of".
Exact(58)
After the first two volumes, he was urged to compose a complete system of nature.
It was left to the courts to work out a complete system of tort law based on these few articles.
The Thünen model suggests that accessibility to the market (town) can create a complete system of agricultural land use.
Couched in elaborate terms of courtesy, it noted that the UAE's constitution calls for progress towards "a complete system of representative democracy".
His Treatise on the Improvement of Canal Navigation, in 1796, dealt with a complete system of inland water transportation based on small canals extending throughout the countryside.
Education without rhetoric was inconceivable; but what Cicero was proposing was to graft onto it a complete system of higher education.
Although a complete system of treatment, the Unani system, similar to other systems of medicine, has drawbacks in terms of application and effectiveness.
It provided for a complete system of primary and secondary schools leading to the university level, all under the Ministry of Education.
He did not formulate a complete system of economic theory, as did Smith in his Wealth of Nations, but Hume introduced several of the new ideas around which the "classical economics" of the 18th century was built.
Similar(2)
Nanogen sells a complete system, consisting of the NanoChip Cartridge, which is placed into the NanoChip Molecular Biology Workstation.
Assessment theory has also developed a complete system consisting of index selection, system establishment, weight calculation, and index fusion.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com