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"stated further" is a perfectly acceptable phrase to use in written English.
It may be used when one is expanding on a previously made statement and/or introducing further comments on the same subject. For example: "This issue is complex and requires an intricate solution. Stated further, an analysis of the current framework, and its potential alternatives, is essential to finding a resolution."
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Unless otherwise stated, further graphical outputs were generated with custom R and Python scripts.
Last month an announcement to the Stock Exchange stated "further working capital...will be needed before the end of the year".
They stated further that "… at any moment the rate of carbon uptake at a particular site will depend on the age composition and density of the stand.
They stated further that being examined by the government official would affect the banks' relations with the government in the future.
The interviewees also stated further advantages of partnerships, such as not having to cover all necessary cloud services and models on their own (P02, P06, P10, P14, P15, P16).
This participant stated further that students get accustomed to the discourse structure of a typical textbook or research paper section unique to mathematics (definition→example→remark→claim) around the fourth year of the undergraduate program with repeated reading practice and the accumulation of sufficient disciplinary knowledge.
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In the following we state further oscillation criteria for equation (1.1).
The t2 states further split into one doubly degenerate e state and one singly a1 state due to the lower point group C3v in the WZ.
It allows a person to say "I am more than a woman/man," without stating further.
It is absurd to assert that I somehow matter here, but let me state further: I adore America.
The heterogeneity of Medicare and/or Medicaid from state to state further limits our ability to generalize the data.
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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