The phrase "analyzing carefully" is correct and usable in written English.
You can use it when describing the process of examining something with attention to detail or thoroughness.
Example: "The researchers are analyzing carefully the data collected from the experiments to draw accurate conclusions."
Alternatives: "examining closely" or "scrutinizing thoroughly".
In an interview two days before the speech, Mr. Levitt said: "My sense is that many investors have become more emotional than intellectual about their investment decisions, and this is the time to point out to them the importance of analyzing carefully rather than impulsively".
They looked for a placental microbiome by analyzing carefully collected placentas from 320 pregnancies.
By analyzing carefully Green's functions for the infinitesimal generator of the semigroup associated with the system under consideration, we obtain a useful resolvent estimate on this generator which can be applied to derive the decaying property.
A statistical analysis on TEM data was performed in order to verify the exfoliation, thus analyzing carefully the edge of the graphene flakes and measuring the number of layers presented in each flake[12].
By analyzing carefully Green's functions for boundary value problems associated with ordinary differential equations (i.e., (2.1)), we prove that the infinitesimal generator of the semigroup associated with system (1.1) satisfies the resolvent estimate (1.9), thereby proving that the energy of system (1.1) decays polynomially.
A summary paper, or rather a book, analyzing carefully the key pieces of the evidence, is urgently needed.
I have learned to look more deeply for signals in people's faces and to analyze carefully smiles or laughs.
The administration and Congress need to analyze carefully the F.B.I.'s proposal, details of which have not been made public.
The framework is analyzed carefully.
Its non-covalent interactions were analyzed carefully in terms of crystal engineering and supramolecular chemistry.
The probable binding-mode of compound f7 was further analyzed carefully by molecular docking methods.
