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The phrase "are further specified according" is correct and usable in written English.
It can be used when indicating that additional details or conditions are provided based on a certain criterion or standard.
Example: "The terms of the agreement are further specified according to the regulations set forth by the governing body."
Alternatives: "are elaborated based on" or "are detailed in accordance with".
Exact(1)
ADE: adverse drug event; these are further specified according to level of severity (level 2 to 6).
Similar(59)
Variances and covariances of common frailties Fi were further specified according to the principles of classic twin modeling [29].
According to different PDL levels, eP-MSC were further specified as eP-MSC from the apical PDL (eP-MSCap), eP-MSC from the mid-tooth PDL (eP-MSCm) and eP-MSC from the subgingival PDL (eP-MSCsg).
The charts were color-coded by type of hazard, and each calamity was further specified by a numerical designation.
Each aspect of numerate behavior was further specified as follows.
For digital signals, this can be further specified as.
Categories were further specified by analysing text samples.
Objectives were further specified at this step of IM.
The probability that the maximum permitted correction is sufficient should be specified according to understood bias.
In count models, most implementations are specified according to models considered by Zeger and Qaqish.
The PLM tool is specified according to a system engineering (SE) deployment.
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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