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The phrase "this solution entails" is correct and usable in written English.
You can use it when discussing the components or implications of a particular solution or approach to a problem. Example: "This solution entails a comprehensive analysis of the data and the implementation of new strategies."
Exact(3)
Unfortunately, this solution entails new security challenges.
Yet this solution entails a large amount of computational overheads.
However, this solution entails the potential extra burden of downloading the destination page content; hence, it may deteriorate the focused crawler time performance; thus, it should be sparingly used, only under conditions indicating that the benefit acquired will exceed the efficiency reduction.
Similar(56)
A solution entails better sanitation for all; that means reinventing the WC.
His proposed solution entails advertisers' being just as creative and expressive as Tumblr users.
The UN's secretary-general, Kofi Annan, who defused a crisis at the beginning of the year, has been trying to find a way out of the stalemate with Tariq Aziz, Iraq's good cop to Mr Hussein's bad one.A possible solution entails the Security Council agreeing to Iraq's demand for a "comprehensive" review of eight years of sanctions.
Lyft's solution entails developing a predetermined message to display on the most visible car window.
One potential solution entails injecting the otherwise stranded AG into underground geologic systems for temporary storage, but re-producing same when a viable gas market becomes available.
When the principal cannot severely punish shirking and agents are completely naïve, the second-best solution entails allowing a present-biased agent to slack-off in order to avoid a greater loss due to shirking.
But what does the nexus as a policy solution entail?
The solution entailed concluding that the technical and legal definitions may differ and producing a technical (medical) definition without a direct link to the various legal ones.
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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