The phrase "in various ways" is correct and usable in written English. You can use it to refer to multiple methods of doing something. For example: "We can learn about history in various ways, such as through books, documentaries, or visits to museums."
E.S.: In various ways.
It happens in various ways.
In various ways, they compromise.
He tried me in various ways.
It is prepared in various ways.
The heroes are tweaked in various ways.
Biological methylation occurs in various ways.
In various ways, they undoubtedly are.
— and publishers interpreted it in various ways.
Schools rallied in various ways.
Death came in various ways.
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Ha Thuy Vy
MA of Applied Linguistic, Maquarie University, Australia