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Discover LudwigThe phrase "agreed to explore" is correct and usable in written English.
It can be used when indicating a mutual decision to investigate or consider a particular topic or idea further.
Example: "After much discussion, we all agreed to explore the possibility of expanding our services into new markets."
Alternatives: "decided to investigate" or "consented to examine".
Exact(60)
A state-owned Indian oil company, which had been partnered with a state-owned Vietnamese company since 2011, agreed to explore another Vietnamese oil-exploration block in the South China Sea.
Our HMG interlocutors agreed to explore options with us.
Another big oil company, Chevron, also recently agreed to explore in Russia's coastal waters.
Elmer's has agreed to explore such coatings for its glue containers.
A £200,000 budget was agreed to explore options with a report due back to the council in April.
Riverside County pols agreed to explore the idea of seceding, but refused to allot public dollars to the quixotic venture.
Further, the two sides agreed to explore, over the next two weeks, the possibility of resuming negotiations toward a final peace settlement.
"The prosecutor has agreed to explore if he could have jurisdiction in the case," said Béatrice Le Fraper, the director of jurisdiction for the prosecution.
They agreed to explore and develop a number of oil fields in the Timan Pechora oil province, with oil reserves estimated at about one billion barrels.
It agreed to explore the matter sooner when Senator Jon S. Corzine added his name to the lawmakers requesting the study.
Lawyers on both sides of a suit accusing the state of shortchanging New York City's schools have agreed to explore a settlement.
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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