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"in detecting the" is correct and usable in written English.
You can use it when you are referring to the process of detecting something--for example, "We are successful in detecting the source of the problem."
Exact(59)
He thanked border force staff for their "diligence" in detecting the "illegal arrival" at the border.
This became useful in detecting the presence of electrically charged particles, in nuclear and particle physics.
One trade group said that Canadian officials' success in detecting the illness should bolster consumers' confidence about their food.
The mayor said the public health system had been effective in detecting the outbreak, and "we are acting as promptly as the evidence requires us to do".
As pathway countries like the United Arab Emirates have offered more help in detecting the schemes, Iranian agents have shifted operations elsewhere, he said.
A Republican pollster, Robert Teeter, said that if blame were assigned for lapses in detecting the Sept. 11 plots, it would be assigned below the president's pay grade.
The prototype has enough performance in detecting the force direction.
Deconvolution showed improvement in simulation results in detecting the boundaries.
These findings reveal the difficulty in detecting the valence mode.
Searches were highly effective in detecting the presence of dolphins.
The frequency response approach was shown to work well in detecting the total power.
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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