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The phrase "without any need for" is correct and usable in written English.
You can use this phrase when you are referring to something that is not necessary. For example: We were able to complete the project without any need for additional resources.
Exact(58)
Methane is regularly produced on planets through geological processes without any need for life.
("We can make real cows' milk without any need for dairy farming").
Inflation would eat away at those obligations, without any need for bankruptcy lawyers.
The key point is all of this has been done without any need for legislation or "taxes" on customers.
It's fashionable, these days, for companies to tout their commitment to bettering society without any need for government involvement.
But those who want to take responsibility and who value freedom would gain, without any need for regulators or committees.
The Via would connect the valleys and the high passes, but without any need for rock-climbing skills.
Unlike paint, the film can be applied and removed by technicians without any need for protective clothing.
Eating a healthy balanced diet gives people enough omega-3 without any need for additives in processed food".
Similar(2)
The method turns out to be robust and performs well for spherically symmetric problems on various grid types, without any need for problem- or grid-dependent parameters.
Once these simple reactions are selected, the associated reaction rates are also known as functions of time, without any need for additional kinetic information.
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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