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The phrase "explains in details" is not correct in standard written English.
The correct form is "explains in detail." You can use it when describing how someone provides a thorough or comprehensive explanation of a topic.
Example: "The professor explains in detail the complexities of quantum mechanics during his lectures."
Alternatives: "provides a detailed explanation" or "elaborates thoroughly.".
Exact(2)
This section explains in details how the mOSAIC solution matches the key scientific and technical goals that were outlined in the introduction.
Using integrity added-values, the SoL service will give guarantees for safety applications and is the most able to convince railway users (the paragraph 3.2 of this article explains in details integrity concepts).
Similar(57)
Tarbell explains in detail Silk Road's transaction process.
Section 3 explains in detail the characteristics of our dataset.
Jamison Foser, at Media Matters, explains in detail how.
My book explains in detail how it did so.
It explains in detail why they are important.
Figure 2 explains in detail the process for recoding.
Design procedure is explained in details.
The proposed algorithm is explained in details and evaluated.
In the following subsections, each stage is explained in details.
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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