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The phrase "approaches was based on" is not correct in English.
It should be "approach was based on" or "approaches were based on" depending on the subject. You can use it when discussing the foundation or reasoning behind a particular method or strategy, ensuring the subject agrees in number with the verb.
Example: "The approach was based on extensive research and analysis of previous studies."
Alternatives: "method was derived from" or "strategies were founded on".
Exact(3)
Coverage for both of the sequence search approaches was based on different levels.
The information gathered about management approaches was based on self-report and may not be representative of true clinical practice.
This selection of protein family approaches was based on coverage of the pre-defined organism space, diversity in general methodology (multi-organism and pairwise organism approaches), varying granularity of the families and acceptance by the community.
Similar(57)
The aggregation-based MCDM approaches are based on weights [104].
The proposed approaches are based on existing approaches.
Both approaches are based on artifice, but the second is also a pernicious falsehood.
Traditional approaches are based on combinations of highly conserved T-cell epitopes.
Many approaches were based on beamforming [22].
The traditional approaches are based on Tarjan's algorithm[7, 8].
Other approaches are based on data mining methods.
Early approaches were based on software emulation [14, 15].
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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