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The phrase "Concerning this matter" is correct and usable in written English.
You can use it when introducing a topic or issue that you want to discuss or address. Example: "Concerning this matter, we need to reach a consensus before moving forward with the project."
Exact(25)
Concerning this matter, this paper presents a process adaption using a tailored cutting edge design to accomplish the predominant challenges.
Concerning this matter, one needs to determine the local variation of the model parameters of the sedimentary structure (e.g., V0 and α of the S wave velocity) using geophysical analyses such as phase and group velocity analysis, spectral analysis, and a waveform inversion of surface waves of local and/or regional earthquakes.
Concerning this matter, we follow a more practical solution: as suggested by Saville [20], corrections for multiple comparisons are not performed but all available data and comparisons made are honestly reported allowing the reader to draw the conclusions.
The foregoing thus must suffice concerning this matter.
"We expect there will be further announcements concerning this matter in the near future".
"Of course, we have analyzed all available information concerning this matter," the French interior minister, Dominique de Villepin, told reporters during a visit to Germany.
Similar(35)
"As far as I am concerned, this matter is closed".
The silence concerning this important matter of priority in Matthew and John is remarkable.
Must we remain passive victims of the medical-legal-religious establishment in this regard -- or do we have choice and power concerning this ultimate matter of how and when we die?
Therefore, we kindly ask for privacy and compassion concerning this very personal matter".
Neither recording artist has addressed the rumors beyond their initial joint statement from Monday in which they asked for "privacy and compassion concerning this very personal matter".
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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