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The phrase "a phase of decline" is correct and usable in written English.
It can be used to describe a period during which something is deteriorating or experiencing a downturn.
Example: "The company is currently experiencing a phase of decline in its sales figures, prompting management to reevaluate its marketing strategy."
Alternatives: "a period of downturn" or "a stage of deterioration".
Exact(3)
His presidency could end in "a fireball" but it is more likely to be looked back at as a phase of decline that is "simply embarrassing".
Moreover, the malaria burden is currently undergoing a phase of decline in several areas of sub-Saharan Africa [32], most likely because of the improved prevention, diagnosis and treatment following the increased financial support of the last few years (i.e. enhanced availability of insecticide-treated-bednets and/or of artemisinin combination therapies).
Interestingly, the experts do not define a phase of decline or termination of the development process, whereas in practice programs also sometimes end.
Similar(56)
Field campaign FC5 was conducted 9 days after manure application on a sunny day, in a phase of declining outflow following FC4, and more than 4 days after the last rainfall.
In cancer patients, illness duration and labour participation are related in another way: an initial decrease of labour participation, followed by a phase in which labour participation rates increase, and finally turns again into a phase of declining participation.
But now they are entering a phase of rapid decline.
But these big fields are about to enter a phase of rapid decline.
One major factor, perhaps, was that Wolves had ended their golden period of serial success under Stan Cullis and entered a phase of rapid decline, their relegation in 1965 depriving Thomson of top-flight competition at a crucial stage of his development.
A certain proportion of the home deaths may have been sudden in nature and therefore not reflective of a patient who is in a phase of anticipated decline in health.
In the early phase, survival rates drop steeply due to critical illness, followed by a phase of smaller decline (caused by patient characteristics and development of CKD) and later on by a flatter survival curve attributable to the high cardiovascular mortality of progressive CKD [ 4].
According to the Sheffield Political Economy Research Institute, manufacturing in the UK has entered a new phase of decline; despite the creation of jobs, output growth since 2011 has been negligible.
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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