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The phrase "a perceived reduction of" is correct and usable in written English.
It can be used when discussing a decrease that is subjectively interpreted or understood by individuals or groups.
Example: "The study indicated a perceived reduction of stress levels among participants after the mindfulness program."
Alternatives: "an apparent decrease in" or "a noticeable decline in".
Exact(2)
The paper investigates whether innovations entailing a perceived reduction of CO2 emissions are related to outsourcing.
This is an important aspect of everyday life, which can be seriously impaired in individuals with hearing loss, leading to a perceived reduction of QoL. 8, 9 The term "QoL" is used to evaluate the general well-being of individuals.
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Concerns expressed publicly and privately in medical and health care circles include the negative impact on patients of a perceived reduction in continuity of care.
Themes identified in our data demonstrate that at least for some patients, arrhythmias have a significant negative effect on their lives; leads to a perceived reduction in overall quality of life; impacts all aspects of their life: work, social, and daily activities; results in almost constant fear and anxiety; and requires enormous time to search for support and information.
Consequences range from a perceived reduction in the quality of service to erroneous responses, due to interferences or complete machine crashes.
Field meteorological data collected in several European Commission projects (from 1974 to 2011) were re-analysed in the context of a perceived reduction in summer storms around the Western Mediterranean Basin (WMB).
Some of the methods it has used for triggering a revaluation such as reducing the rate used to discount cashflows because of a perceived reduction in risk, as it has on Britain's M6 motorway might seem arbitrary.
The use of uncemented hip arthroplasty prostheses with ceramic articulations are popular, especially in the young, because of a perceived reduction in wear.
Many vigías commented during interviews that they did not know the new director, and felt that SNGR did not prioritise supporting the network in the same as way its predecessor, citing a perceived reduction in resources as evidence of this.
Participants closely linked a perceived reduction in HIV stigma to the availability of treatment.
An interesting further implication of viewing syndactyly as a constraint would be a new view of the perceived "reduction" of the syndactylous digits, which has been taken to be a hallmark of syndactyly [ 3, 13, 21, 28].
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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