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The phrase "according to current estimates" is correct and usable in written English.
You can use it when referencing data or information that is based on the latest available calculations or projections.
Example: "According to current estimates, the population of the city is expected to grow by 10% over the next five years."
Alternatives: "based on recent estimates" or "as per the latest estimates."
Exact(40)
This year it will be $2.5 billion, according to current estimates.
(There are between ten and a hundred million species on earth, according to current estimates.
According to current estimates, China has a fifth of the world's population.
The Universe is about 12 or 13 billion years old, according to current estimates.
According to current estimates, a few 1-km-diameter asteroids collide with Earth every million years.
According to current estimates, carbon emissions from driving impose a societal cost of about $20 billion a year.
Similar(20)
Restoration of the seven percent cut will cost the state an estimated $483.1 million, according to current budget estimates.
According to current United Nations estimates, Kabul's population could reach 9 million by 2050.
Trident and the carriers will initially cost at least £25bn, according to current official estimates, which is a large slice of the weapons procurement budget.
In conclusion, CVS Health looks positive for the ongoing year, and according to current Trefis estimates the stock is undervalued by around 15%.
Provision from ages 6 to 18 months of a micronutrient-rich fortified porridge flour, formulated to meet all nutritional requirements according to current best estimates [9] was successful in improving children's iron status.
More suggestions(16)
according to recent estimates
according to current prognosis
correspond to current estimates
according to current projection
according to current plans
according to current models
according to current findings
according to official estimates
according to current theories
according to current polls
according to current trends
according to current employees
according to current tenants
according to preliminary estimates
according to several estimates
according to current checks
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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