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The phrase "and established a system" is correct and usable in written English.
You can use it when describing the action of creating or implementing a structured approach or method in a particular context.
Example: "The committee reviewed the proposal and established a system for monitoring progress."
Alternatives: "and created a framework" or "and set up a structure."
Exact(8)
Over the next several decades they enacted legislation that disenfranchised blacks and established a system of legalized discrimination called segregation.
It banned foreign fishing within 200 miles of the United States shoreline and established a system of management councils to regulate federal fisheries.
Under growing pressure from veterans groups and Congress, the Veterans Affairs Department in recent years has hired more than 5,000 therapists and counselors and established a system of suicide prevention coordinators at more than 150 medical centers.
King Sejong, who during his reign (1419 50) surmounted the disorder that accompanied the founding of the Chosŏn dynasty and established a system of governance, invented Hangul (han'gŭl), the alphabetic system used to write the Korean language thereby making possible a vernacular literature.
We previously examined and established a system to categorize ductal changes.
By adapting an apparatus from Joseph et al. [24], we have quantified these decisions in thousands of individuals, and established a system that can be used for genome-wide association studies of decision-making behavior.
Similar(52)
He requested an additional $15 million to hire inspectors and establish a system for monitoring attendance records and test scores.
We will work together to ensure the public trust and establish a system of transparency, public participation, and collaboration.
It recognizes a version of the concept of "farmers' rights," and establishes a system of compensation for genes used in the creation of patented seeds.
President Obama has promised to provide it: "We will work together to ensure the public trust and establish a system of transparency".
Reform Plan Stalls He said the government should dismiss half of the country's 1.2 million police officers and establish a system to fairly adjudicate complaints about the police.
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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