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The phrase "increase the confidence" is correct and usable in written English.
You can use it when you want to express the notion of cultivating or increasing a sense of confidence in someone or something. For example, "I'm attending a workshop this weekend to increase my confidence in public speaking."
Exact(60)
Because these measures would "increase the confidence of households, firms and investors".
Once the domestic economy improves, it will increase the confidence of foreign investor.
The presence of helpers would also reassure and increase the confidence of those who fumble, causing them to fumble less.
The equaliser seemed to increase the confidence of the Rossoneri and 12 minutes after the restart they almost turned the game around.
A method to increase the confidence of the flux calculations is described.
This indicates that the ETTC could increase the confidence of participants.
Knowledge of this temporal predictability would probably increase the confidence of the motivated criminal.
BCSs and CB are expected to increase the confidence in biometric authentication systems (trusted identification).
Therefore, the potentials could increase the confidence level of this study.
To increase the confidence in the results, a sensitivity study with widely varying radiative material properties has been carried out.
Full factorial experimental design is implemented to increase the confidence limit and reliability of the experimental data.
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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