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The phrase "are only two possibilities" is correct and usable in written English.
It can be used when discussing options or outcomes in a situation, indicating that there are just two alternatives available.
Example: "When it comes to solving this problem, there are only two possibilities: either we proceed with the current plan or we start from scratch."
Alternatives: "there are just two options" or "only two choices exist".
Exact(43)
Where each divorced parent lays claim to exclusive custody to the child, no other party has any claim, and no compromise is possible, there are only two possibilities.
There are only two possibilities: either we act to expand the boundaries of the possible, or we suffer the consequences.
"There are only two possibilities," she said.
"There are only two possibilities," Ms. Crone said.
It seems to me that there are only two possibilities.
There are only two possibilities here: horrendous cad, or horrendous baggage.
Similar(17)
The way I see it there are only three possibilities.
There are only three possibilities associated with this pole-zero pattern.
There are only three possibilities for rectangles that can be divided into two, under this rule.
Joanna Rothkopf for Salon thinks not, on balance: "There are only three possibilities.
There are only three possibilities.
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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