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Discover Ludwig"encompass both" is correct and usable in written English.
You can use it when you want to describe two broad, yet related, topics that cover a wide range of material. For example: "This course will encompass both theoretical and practical knowledge of the subject."
Exact(60)
A week to 10-day vacation usually encompass both holidays.
Some of the greatest songs encompass both opposing emotions.
Interestingly, these skills encompass both traditionally "masculine" and "feminine" attributes.
Discussions will encompass both high and low income countries.
Goals can encompass both environmental and human socioeconomic dimensions.
Future research should aim to encompass both these factors.
(The invasion of Iraq, he said, came to encompass both feelings).
It is a measure of Fogel's subtlety that he is able to encompass both perspectives.
Neither "just" objects nor "merely" airy commands, the pieces in "Grapefruit" now encompass both possibilities simultaneously.
They encompass both inspired revivals (2005's The Producers) and regrettable ones (Bewitched, also 2005).
The company, and the world of ballet, can and must encompass both extremes.
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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