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"aims to extend" is correct and usable in written English.
It is typically used in a context when one is discussing a plan that will increase or expand upon something. For example, "My research aims to extend the current knowledge of this field."
Exact(60)
President Obama aims to extend Mr. Clinton's achievement.
This paper aims to extend the study to longer shells.
The compendium aims to extend the impact of the seminars' rich discussions beyond the project timeline.
This project aims to extend the structural SVM framework to such complex structures.
This paper aims to extend the variational boundary conditions for molecular dynamics simulation [X.
The present study aims to extend the concepts of WFT and PFT to concrete.
This paper aims to extend of the previously developed analytical design for the Acrobot walking.
This paper aims to extend understandings of the corporate political activity (CPA) of multinational enterprises (MNEs).
Facebook CEO Mark Zuckerberg has announced the launch of internet.org, a global initiative that aims to extend global internet access.
With the Nexus One, Google aims to extend the reach of its Android operating system for mobile phones.
This program, initiated in [4], aims to extend Rieffel's deformation theory [27] for more general groups than Rd.
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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