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The phrase "governing relations" is correct and can be used in written English.
It refers to the relationships and interactions between different governing bodies or entities. Example: The recent policy changes have had a significant impact on the governing relations between the federal and state governments.
Exact(16)
Elastic-viscoelastic correspondence principle is employed in the unit cell solution to relate the governing relations between time domain and Laplace-Carson domain.
Parameters of the material model governing the element were related through regression analyses to predictor variables to arrive at governing relations for the parameters.
There is no supreme law governing relations among sovereign states.
This had an important place in what may be called "international religion"—i.e., that governing relations between men from different areas belonging to different cults.
And George Osborne's priority of establishing a new regime governing relations between the 19 countries using the euro and those outside, like Britain, remains unresolved.
This could perhaps involve the laws governing relations with the dead, or the consequences of the anarchy they seem to prefer.
Similar(42)
After the spying revelations Yudhoyono demanded a new "code of conduct" to govern relations between the two countries.
When Gen. Pervez Musharraf governed, relations were warm and friendly in public, and any frictions were kept behind closed doors.
Leaders want to fix the principles that will govern relations between the EU and NATO, if and when an all-EU defence capability takes shape.
Efforts by the United States to negotiate a strategic agreement on relations with Afghanistan, like the one that now governs relations with Iraq, also have been complicated by a number of troublesome issues.
In Mr. Bush's vision, still lacking in many details, the threat of global annihilation -- or "mutual assured destruction" -- would no longer govern relations between the United States and other powers.
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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