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The phrase "and demonstrate its application" is correct and usable in written English.
You can use it when discussing how a concept, theory, or method can be applied in practical situations.
Example: "In this paper, we will explore the theory of relativity and demonstrate its application in modern physics."
Alternatives: "and illustrate its use" or "and show how it can be applied".
Exact(37)
Next we define a novel data structure to capture morphological dynamics, and demonstrate its application to different time-lapse experiments.
We describe a method to measure TA and demonstrate its application.
I will discuss Phurbas, a meshless, Lagrangian, adaptive, parallel code for magnetohydrodynamics, and demonstrate its application to protoplanetary disk models.
Finally, two examples are studied to verify the accuracy of the program and demonstrate its application in practical bridge engineering.
I first describe stochastic variational inference, an approximate inference algorithm for handling massive data sets, and demonstrate its application to probabilistic topic models of millions of articles.
These results open doors for the preparation of highly active and well-structured alumina catalysts and supports from aluminum foil waste and demonstrate its application in acid catalysed reactions.
Similar(23)
Here, we review the progress of secondary pharmacology during the past decade and highlight and demonstrate its applications and impact in drug discovery.
The main object of this paper is to introduce the quasi-log concavity of a function and demonstrate its applications in the analysis of variance.
In this paper, we describe the latest version (Version 3) of the CVTree web server and demonstrate its applications.
This paper presents a methodology for the design of optimal transport strategies and demonstrates its application to six UK cities.
This work opens doors for the preparation of highly active and well-structured nano-mesoporous alumina catalysts/supports from aluminum foil waste and demonstrates its application in acid-catalysed reactions.
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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