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The phrase "the subsequent phase of" is correct and usable in written English.
It can be used to refer to the next stage or step in a process or course of action. For example: "The subsequent phase of our plan is to increase our digital presence."
Exact(22)
On Saturday Mourinho was angry that Fearn and Carneiro's entry onto the pitch had ruled Hazard out the subsequent phase of play when the number of Chelsea players had already been reduced.
The subsequent phase of injection of the complementary DNA strands of oligonucleotides (in red color) is shown in Fig. 10b.
Connecting data involves analysing a dataset in an initial phase and using the analyses as input to the subsequent phase of the project.
The highest productivity was obtained during the respiro-fermentative growth on glucose but there was also a significant rate of formation during the subsequent phase of ethanol respiration.
Natural language requirements specifications form the basis for the subsequent phase of the information system development process, namely the development of conceptual schemata.
The basin configuration shifted from a graben/half-graben configuration during the initial rifting phase, to a dustpan-shaped half-graben pattern during the subsequent phase of intensive rifting, and finally into a gentle sedimentary basin during the final recession phase.
Similar(38)
Through all the subsequent phases of his literary life, there is a consistent character thread, which many readers have found intensely, almost viscerally, appealing.
Consequently, this initial fluid structure interaction phase decouples from the subsequent phases of response.
The aim of the measurement was to get the base data for the subsequent phases of the experiment.
However the design handoff to the subsequent phases of the control system development is carried out manually in most cases without much tool support.
In that study, the evaluation was performed at the end of orthodontic treatment, after the additive to the presently studied initial resorption effect of the subsequent phases of treatment.
More suggestions(15)
the subsequent preparation of
the later phase of
the further phase of
the subsequent plan of
the follow up phase of
the following phase of
the younger phase of
the subsequent stages of
the subsequent stages in the
the later stage of
the subsequent stage of
the subsequent step of the
its next phase of
the next step of
the next stage of
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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