"proper elaboration" is a correct and usable phrase in written English.
It is used to mean "carefully expressed details or explanation". For example, "My professor expected us to provide proper elaboration when writing our essays."
The development of biostatistics (statistics applied to the analysis of biological data), the elaboration of proper experimental design, and improved sampling methods now permit a quantified statistical approach to the study of ecology.
Traditionally the passage has been viewed as an elaboration of the proper roles of husband and wife.
The transition from ante-Purgatory to Purgatory proper in Canto IX leads to an elaboration on the moral and poetic structure of Purgatory, exemplified on the terrace of pride in Canto X. Professor Giuseppe Mazzotta: Last time, I was arguing with you about some of the novelties that Dante introduces within the poem at the start of Purgatory.
Usually the proper timing of an objection will force an elaboration of it.
In the Fior di late cheese the elaboration was carried out after a proper curd-ripening phase using an edible coating as carrier of probiotic (L. rhamnosus) and fructooligosaccharide (FOS).
Recent evidence suggests that cell division and morphogenesis are intimately interconnected, and whereas overall architecture is determined by patterning genes, the elaboration and execution of developmental programmes require proper control of the cell-division cycle.
A proper elucidation of these mechanisms would allow for the elaboration of better strategies to engineer more potent Gemcitabine nanotherapeutics against pancreatic cancer.
As we noted in New York Times, '(t) his Court's duty is not limited to the elaboration of constitutional principles; we must also in proper cases review the evidence to make certain that those principles have been constitutionally applied.
For expression is never logical, but always affective, that is, lyrical and imaginative; and hence it is never metaphorical but always "proper"; it is never simple in the sense of lacking elaboration, or ornate in the sense of being loaded with extraneous elements; it is always adorned with itself, simplex munditiis.
The cases are interesting not for their content or logic, but because they provide a rare opportunity to observe the creation, elaboration, and entrenchment of a new formality for the proper execution of wills one that treats the use and misuse of self-proving affidavits.
