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The phrase 'based on previous work' is correct and usable in written English.
This phrase can be used to refer to new work or conclusions that have been informed by existing research. For example, "This paper builds on previous work to explore the implications of recent economic changes."
Exact(60)
This questionnaire was based on previous work by one of the authors [ 16, 17].
Based on previous work by one of the authors [ 16, 17] the answers shown in table 3 were accepted.
MPC determination was based on previous work by Marcusson et al.64.
The operation of energy devices is modeled based on previous work on DES operation optimization.
This task was designed based on previous work showing that people can adapt to both contexts.
Based on previous work, a setup allowing discrimination between energetic and non-energetic materials was developed.
Five different types of functional requests for children were identified based on previous work.
Based on previous work by the authors the diffusion equations for a multicomponent solid are derived.
Weber and Handgraaf were fairly confident, based on previous work, that the two approaches would produce different results.
Next, we explain a strategy for detecting control-flow errors based on previous work by Oh and Reis.
The model is based on previous work by Foucault on psychiatric power [3].
More suggestions(17)
based on earlier work
based on previous works
based on previous weight
based on previous report
based on previous research
based on previous breakthrough
based on previous involvement
based on previous client
based on previous method
based on previous achievement
based on similar work
based on previous recruiting
based on previous market
based on previous performance
based on hard work
based on previous inequality
based on previous experience
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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