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The phrase "are three basic methods" is correct and usable in written English.
It can be used when introducing or discussing a set of methods or approaches in a particular context, such as a report or an academic paper.
Example: "In our analysis, we found that there are three basic methods for improving efficiency in the workplace."
Alternatives: "there exist three fundamental methods" or "three primary methods are available".
Exact(4)
There are three basic methods of attaching soles to uppers.
Currently, there are three basic methods to detect PSs, i.e., the methods based on normalized amplitude dispersion, phase stability, and correlation.
There are three basic methods for phasing: molecular, genetic, and population analysis.
There are three basic methods of oxygen delivery: By face mask.
Similar(56)
In industrial practice, there are two basic methods for making the polymer into useful resins.
There are two basic methods of data collection: fieldwork and survey by correspondence.
There are four basic methods of revising a poem so that its content or its argument becomes stronger and clearer: cut, expand, rearrange, or substitute.
Subtractive clustering and Fuzzy C-Means are two basic methods of fuzzy clustering.
According to IPCC [5] there are two basic methods to estimate carbon stock changes (∆C).
There are two basic methods for measuring arterial blood pressure, direct and indirect.
In purification step, there are two basic methods as wet and dry washing.
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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