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The phrase "according to state" is correct and usable in written English.
It can be used when referencing information or regulations that are established by a particular state or governmental authority.
Example: "According to state law, all drivers must carry insurance while operating a vehicle."
Alternatives: "as per state" or "in accordance with state".
Exact(55)
According to state media, they took heed.
Turnout, according to state election officials, was 8.1 million.
According to state records, the number was 452.
The highest is East Harlem, according to state health data.
Today there are only about 35, according to state biologists.
Sanlu had first received complaints about its powdered baby formula last December, according to state media.
Similar(5)
Dozens of militants and soldiers have been killed, according to state-run news media reports.
He has taken down nine so far, according to state-controlled media.
CTC was executed according to state-of-the-art techniques.
However, FEG continued to require statutory reporting of pertussis according to state-specific regulations.
Terrorism increased in 1984 according to State Dept.
More suggestions(22)
decades according to state
families according to state
according to membership
according to homeland
according to declaration
according to degree
according to government
according to statement
according to treasury
according to commonwealth
corresponding to state
procedure to state
according to governments
compliance to state
records to state
according to stated
according to rule
regards to state
principle to state
cards to state
correspond to state
according to statements
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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