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The phrase 'defined in different ways' is correct and usable in written English.
You can use it when referring to something that has been described or interpreted in many different ways. For example, the concept of happiness is defined in different ways by different people.
Exact(57)
Although these arrays are similar, the information provided by each differs considerably because the segments are defined in different ways.
Another difference between the studies is that metabolic health is defined in different ways, with little consensus on how best to define it.
As General Tommy Franks, the American commander who will direct the invasion, recently observed, the term "regime" can be defined in different ways.
Not only that, but it was unclear what exactly the target should be, since money could be defined in different ways: narrowly, as cash and demand deposits held with commercial banks, or broadly, including savings deposits with other financial institutions.
The two economists report, however, that very little of this new thinking has found its way into the making of economic policy.The current account is confusing partly because it can be defined in different ways.
Drought has been defined in different ways.
Economic Empowerment can be defined in different ways.
Forest management practice may be defined in different ways, based on country-specific circumstances.
The inner relationships among them are discussed although they are defined in different ways.
Execution time can be defined in different ways depending on what we count.
(iii) Well-posedness for vector problems has been defined in different ways.
More suggestions(15)
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characterised in different ways
described in different ways
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examined in different ways
identification in different ways
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differentiated in different ways
defined in a different way
set out in different ways
defined in a number of ways
defined in various forms
defined in a variety of ways
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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