The phrase "multilateral procedures" is correct and usable in written English.
It refers to processes or methods that involve multiple parties or countries working together towards a common goal. Example: The United Nations has established multilateral procedures to address global issues such as climate change and human rights.
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The North Atlantic Treaty Organization NATOO), a military alliance established in April 1949, also is endowed with complex and permanent executive machinery, employing multilateral procedures and involving the continuous elaboration of plans for the conduct of joint military action by its member states.
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They're desperate to preserve the multilateral process.
Chinese President Xi Jinping has stated that the AIIB will follow multilateral rules and procedures adopting the best practices of the World Bank and Asian Development Bank.
He added: "We should go into a multilateral disarmament process.
But the peace process must be multilateral.
These flowcharts and matrix were used to establish a systematic procedure for the planning and completion of horizontal and multilateral wells.
Multilateral institutions are at risk.
It has to be multilateral.
There are many multilateral bodies.
"Multilateral problems should have a multilateral solution," he said.
Multilateral rules increasingly apply.
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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