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The phrase "are satisfactory only" is correct and usable in written English.
It can be used to indicate that something meets the required standards or criteria, but only to a certain extent or in a limited way.
Example: "The results of the experiment are satisfactory only when the conditions are controlled."
Alternatives: "are acceptable solely" or "are adequate only".
Exact(1)
However, the Hill equation fits of the titration curves are satisfactory only to a CBZ concentration of ca. 700 μM; at higher concentrations, there is evident systematic deviation of the experimental data from the equation curve.
Similar(59)
It was found that six of the 16 work packages were successful, eight were satisfactory only, and two were unsuccessful.
Predictions based on data obtained using GIS were satisfactory only for forests on alluvial soil (58% explained variance).
While agreement with numerical results obtained with COMSOL was fair, the EPM predictions of natural frequencies were satisfactory only for low-order modes.
Such a position would be satisfactory only to the extent that a suitable concrete replacement theory to Newton's theory is developed; Mach never offered such a theory, but recently more progress has been made.
The estimation of the parameters was adequate for the kr hW and kr ka models and the curvatures measures were satisfactory only for models in which hW was not incorporated.
The significant feature of the proposed approach is that it not only improves the numerical accuracy of deterministic output quantities with respect to a given random variable, but also overcomes the inherent drawbacks of conventional second-order perturbation approach, which is satisfactory only for small coefficients of variation of the stochastic input field.
However, its sensitivity is satisfactory only for high grade tumors or carcinoma in situ.
The iron intake rate was satisfactory only in one of the eight schools studied.
Ankle function was satisfactory only in the 3 patients in whom the rods were stopped just above the ankle.
Such comparison-based interpretation of FLIM images is satisfactory only when the fluorescence decay at each pixel can be attributed to just one fluorophore.
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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