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The phrase "approach thoroughly" is correct and usable in written English.
It can be used when discussing the need to examine or tackle a subject or task in a comprehensive and detailed manner.
Example: "In order to solve this complex problem, we must approach thoroughly and consider all possible solutions."
Alternatives: "examine in detail" or "tackle comprehensively".
Exact(1)
The causal approach thoroughly takes into account this kind of dependencies between each drilling component, as opposed to just reflecting the exhaustive search of optimal technologies (i.e., less expensive conventional technologies) in the non-causal approach.
Similar(58)
The approach was thoroughly untraditional, but no less moving.
Though she borrows elements from every period, her approach is thoroughly contemporary.
Performance and limitations of the proposed approach are thoroughly discussed.
Advantages and disadvantages of each approach are thoroughly reviewed and discussed.
The suitability of the proposed approach is thoroughly tested on an instrumented vehicle.
The proposed approach is thoroughly evaluated and shown to outperform previous approaches very substantially both in terms of throughput and energy consumption.
A detailed state-space approach is thoroughly discussed, where influence of maintenance funds on each component's repair rate is directly assessed.
This approach is thoroughly validated on both synthetic and real data, and tested against various sources of errors including noise, number of observations, objects locations, and camera orientations.
The proposed approach was thoroughly tested and then applied to Hokkaido East data allowing for the physically justified estimation of the elevation, which considerably extends diagnostic capabilities of the network.
Both upwind and symmetric TVD schemes in the framework of the shock-capturing approach are thoroughly investigated and applied with great success to a number of complicated multidimensional gasdynamic problems.
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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