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The phrase "are eager to explore" is correct and usable in written English.
You can use it to express enthusiasm or a strong desire to investigate or learn about something.
Example: "The students are eager to explore new scientific concepts during their field trip."
Alternatives: "are excited to discover" or "are keen to investigate".
Exact(22)
Biologists are eager to explore both.
Companies are eager to explore new ways of financing as bank lending continues to be tight after the financial crisis.
But they are eager to explore their potential and to resolve a certain tension between their artistic and scientific interests.
Many manufacturers are eager to explore new manufacturing approaches because the cost of labor is climbing quickly, especially in China.
They are eager to explore for ideas that work and are not possessive of those that don't.
In turn, the economists say they are eager to explore the digital world for fresh insights into timeless economic questions of pricing, incentives and behavior.
Similar(38)
And he's eager to explore the Southeast Asian circuit.
One topic I was eager to explore was Bill's war years.
Last weekend though, residents were eager to explore the sites now unlocked thanks to foreign initiatives.
Those are different kinds of mistakes, and this indignant, excitable book is eager to explore them.
I am eager to explore her fiction after discovering her last year with "Lark and Termite".
More suggestions(15)
are great to explore
are likely to explore
are enthusiastic to explore
are eager to discover
are eager to evaluate
are keen to explore
are eager to pursue
are eager to try
are ready to explore
are eager to identify
are earnest to explore
are eager to capitalize
are available to explore
are eager to push
are eager to support
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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