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The phrase "alone think" is not correct and does not convey a clear meaning in written English.
It seems to be an incomplete expression and lacks context to determine its intended use.
Example: "I can only think alone when I need to focus."
Alternatives: "think by myself" or "think independently".
Exact(51)
Today, students aren't even trusted to dress themselves - let alone think for themselves".
A pair of experts mulled whether we'd ever get machines to talk, let alone think.
You can hardly take it in, let alone think about going to work.
During those 15 minutes I barely even see the crowd, let alone think about who is watching online.
It is almost a tragedy that we even have to discuss it, let alone think of acting upon it.
At 16, Mark Warren says he struggled to spell "architecture", let alone think he might enter the profession one day.
Similar(9)
Before 9/11, no one talked about homeland security, let alone thought about it.
The smaller sorts of airborne particles are alone thought to cause 380,000 premature deaths in Europe every year.
Mrs. Johnson, who was sleeping alone, thought intruders were in the house, did the Johnsonish thing and shot and injured one of the detectives.
One incident that closed a junction of the M25 London orbital during rush hour is alone thought to have cost £1.75m.
They woke with the sunrise, drank coffee, wrote alone, thought alone, listened to music they chose, and in the evening drank something impressive while writing into the night.
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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