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The phrase "a deep analysis of these" is correct and usable in written English.
It can be used when discussing a thorough examination or evaluation of specific subjects or items previously mentioned.
Example: "In this report, we will conduct a deep analysis of these factors to understand their impact on the overall outcome."
Alternatives: "a thorough examination of these" or "an in-depth review of these".
Exact(1)
However, a deep analysis of these 16 proteins was not carried out until now.
Similar(58)
Interesting future work includes a deep analysis of the multi-cell deployment.
Another way is to conduct a deep analysis of the students' behavior as seen in Biswas et al. (2005; 2010).
In this paper, a deep analysis of this algorithm has been carried out in order to cover this gap.
This paper presents a deep analysis of the optimum energy systems for a district sited in China.
The Forum has produced a deep analysis of the diverse and complex dimensions of human insecurity.
A deep analysis of the structure and variations of bioreactor microbial communities may potentially reveal their important assembly mechanisms.
Furthermore, we performed a deep analysis of the various Dact protein motifs and compared the expression patterns of different Dacts.
The core of the reflection on the very nature of ageing is based on a deep analysis of the consequences of the physico-chemical nature of replication.
The idea is to make a deeper analysis of these sites by making use of natural language processing and text mining techniques.
Before proceeding with a deeper analysis of these two cytokines in the CNS, we analyzed the level of dopaminergic degeneration and gial activation in the MPTP-treated monkeys.
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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