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The phrase "are multiple ways of" is correct and usable in written English.
It can be used when discussing various methods or approaches to achieve something.
Example: "There are multiple ways of solving this equation, depending on the techniques you prefer."
Alternatives: "There are several methods to" or "There are various approaches to".
Exact(27)
She looks at Al Jazeera's coverage of the war, offering a sobering reminder that there are multiple ways of perceiving the same events.
"It's really a target amount of money each paper has to cut," which the company will not discuss, and there are multiple ways of arriving at it, she said.
There are multiple ways of implementing these measures.
Ahmed Mahmoud: There are multiple ways of looking at what a CIO needs to do.
There are multiple ways of assessing the preoperative health status of the patient.
There are multiple ways of dealing with a merger, whether you are the acquirer or the acquiree.
Similar(33)
We both agreed there should be multiple ways of getting people into space.
Michael Cader, the creator of Publishers Lunch, an industry publication, said there were multiple ways of interpreting what had happened to e-book prices since the start of Apple's iBookstore.
In this context we deal both with subcontracting between agents and the presence of multiple recipes, that is, multiple ways of accomplishing tasks.
There were multiple ways of doing this that made little difference to the clinical outcomes, but that could make a considerable difference to the distribution of benefits and costs to other stakeholders.
For a given link there can be multiple ways of graphically representing the topology, with interconversion between the different representations achieved through structural deformation and/or translation of the crossing points.
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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