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The phrase "a procedure to further" is correct and usable in written English.
It can be used when describing a method or process aimed at advancing or promoting something.
Example: "We have developed a procedure to further enhance the efficiency of our production line."
Alternatives: "a method to advance" or "a process to promote".
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With a quick recovery and limited discomfort during the postoperative period, patients are likely to request a second procedure to further improve their results.
However, with that knowledge in mind we deliberately restricted our analysis to linear models, applied a rigorous model validation using a leave-one-out strategy and performed a feature selection procedure to further reduce the number of model parameters (to 15 in the case of LINfs3).
Here we used a response conflict procedure to further explore the involvement of the infralimbic cortex in this relationship.
We develop a two-step procedure to further improve the performance gain and control the equalization delay.
Thanks to the simple coupling of the scheme, we design an efficient Picard iteration procedure to further decouple the computation of Cahn Hilliard equation and Navier Stokes equation.
A DNase step was incorporated in the ECM isolation procedure to further purify it of genetic material.
"I hope to continue with the legal procedure to further the interests of my family.
"A procedure to stimulate further bone healing is the next and definitive step," Brentford's head of medical Neil Greig said.
Further, a procedure to limit the norms of the controller and observer gains is given.
To cope with partial amplitude variations that may occur within a frame, the algorithm includes a procedure to divide the original frame further, if necessary.
Future research will include triangulation of the data from this Delphi consensus exercise with opinions of health care providers and actual infant responses to painful procedures to further develop a reliable and valid pain measure for infants at risk for NI.
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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