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"some authors reported" is correct and usable in written English.
You can use it when referring to information that has been provided by authors in a published work. For example: "Some authors reported that the average lifespan for a cat is 12-15 years."
Exact(60)
Some authors reported [ 18, 19] increased lipid peroxidation levels in dermatophytic animal studies.
Feed-pump performances achieved are lower than expected and some authors reported cavitation issue.
Some authors reported significant occlusal sagittal improvements after RME [24, 25].
Some authors reported the direct embolisation of the site of the fistula as a feasible and effective procedure.
In the literature, some authors reported that the inclusion of SF increased the concrete/mortar abrasion resistance.
Some authors reported regular icosahedron geometry (Ih symmetry) as the most stable structure for Al13 cluster [4, 12].
Some authors reported that higher pH is not favourable for some phylogenetic groups of nitrifying bacteria (Kowalchuk et al. 2000).
Conversely, some authors reported larger teeth in males [7,21-23] as well as in females with oral clefts [8].
This observation could explain why some authors reported a sort of 'intergranular cleavage' and had difficulty in finding an equivalent 'transgranular cleavage'.
In particular, some authors reported increased connectivity in specifics cerebral areas, such as right rostral anterior cingulate cortex, prefrontal cortex, orbitofrontal cortex and supplementary motor area [10].
When oral anticoagulant therapy is considered, some authors reported a risk major hemorrhagic event ranging from 0.2%-3 0.2%-3 per patient [47, 48].
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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