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The phrase "processes were established" is correct and usable in written English.
It is typically used to refer to the creation of systems or procedures for a particular purpose. For example, "After extensive research, clear processes were established to ensure the safety of the product."
Exact(8)
Three-dimensional transient numerical simulation models of the porthole die extrusion processes were established.
A number of changes to growing and storage processes were established, cutting infection levels to a negligible level.
Relationships among soil morphology, variations in the groundwater table, and soil forming processes were established based on field investigations and previously published datasets.
New trends in production lines, new methods in management, and even new approaches to educational processes were established and have improved living standards.
Extensive end-decade review and reporting processes were established at national, regional and international levels.
National and local governance structures and processes were established through a local implementation group.
Similar(52)
Two computational processes are established, one is a forward process analysis and the other is a backward process analysis.
Thermodynamic optimization models of gas-hydrate cool storage and cool release processes are established in this paper.
Several evidences about the participation of the oxygen vacancies, as key sites, for water absorption processes are established.
In [17], the comprehensive optimization of rigid tool Liquid composite molding (LCM) processes was established as a BLOP.
The following pairs of processes are established and exchange their lists according to the pivot received from process 0: (0, 4), (1, 5), (2, 6), and (3, 7).
More suggestions(13)
businesses were established
processes were developed
agreements were established
operations were established
processes were provided
transformations were established
procedures were established
procedure were established
treatment were established
process were established
processes were created
mechanisms is established
mechanisms be established
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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