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The phrase "according to relevant rules" is correct and usable in written English.
You can use it when referring to guidelines, regulations, or standards that apply to a particular situation or context.
Example: "The decision was made according to relevant rules established by the governing body."
Alternatives: "in accordance with applicable regulations" or "as per the relevant guidelines."
Exact(1)
The paper aims to map business engineering and management with the aid of process reasoning that enables coherently integrating two essential dimensions of any industrial organization: the management, with clear responsibility for coordinating the work system and the functional areas, being in charge with executing specialized operations, according to relevant rules, regulations, and procedures.
Similar(59)
But Kocijancic says that all Horizon 2020 participants—no matter what country they are from have to sign a standard agreement that they will use the funds according to relevant E.U. rules.
That article said the sale and use of matches had been prohibited "according to relevant regulations", but did not specify whether the rules were local or applied across the region.
According to relevant regulations, standards, and actual mine condition, the rule base models of comprehensive early warning of outburst were established, and the warning degree system is divided into two major categories: the state and the trend.
Then, according to relevant monitoring period, frequency, up/down green limits and thresholds specified in the optimization rules, OCSO implements periodical service resource monitor actions.
All methods were performed according to relevant guidelines and regulations.
We formulate the test procedure according to relevant standards.
According to relevant NGOs, the answer is hovering somewhere between not much, and absolutely nothing.
This prevalence varied according to relevant variables.
c A valid name is the correct biological name of a taxon, determined according to the relevant rules of nomenclature.
According to rules (business rules) should be considered as first-class citizens in computer science.
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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