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The phrase "were estimated to be" is correct and usable in written English.
You can use it to describe an estimated amount of something. For example, "The profits for the year were estimated to be 12 million dollars."
Exact(59)
Billings were estimated to be $20 million.
Damages were estimated to be at least $2 billion.
Sales of the MoS were estimated to be about 1.92m.
Their combined losses were estimated to be about $A1 billion.
In 1980, 52percentt were estimated to be under 40, compared with 31.7percentt currently.
Mortgage exposures in inner-city Brisbane and Melbourne were estimated to be about $10bn $20bn.
More than 28,000 were estimated to be interning for Apple alone.
The sales of Botox for cosmetic use were estimated to be around $360 million, he said.
In the US, verified users were estimated to be 56.6% male and 43.4% female.
About 3,000 protesters were estimated to be within the redshirt zone.
Fox's profits last year were estimated to be around $50 million.
More suggestions(19)
were estimated to become
were gauged to be
were calculated to be
were evaluated to be
were anticipated to be
were forecasted to be
were approximated to be
were speculated to be
were certain to be
were been calculated to be
was assessed to be
were assessed to be
were estimated to occur
are reported to be
were evaluated at
is deemed to be
are alleged to be
were reported to be
are considered to be
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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