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"constant influence" is a perfectly valid phrase in written English.
You can use it to refer to a sustained or persistent influence, such as a person or organization that consistently exerts their authority over a situation. For example, "The constant influence of the media has had a drastic effect on public opinion."
Exact(22)
Like a pushy best friend they exert a constant influence on your life, shaping your social, cultural and political experiences.
Instead, they are under the constant influence of the continental air mass, which causes great annual and diurnal temperature fluctuations.
While he and Mimi live in Weston, Massachusetts, and spend their summers on Nantucket, Tom's Harvard days remain a constant influence.
In an essay published in 2003, he wrote, "Much of my pragmatic thinking took root back then, and still exerts a constant influence on me".
Certainly, Des's literary interests, manifested in a fondness for Larkin (a constant influence on the novel's view of the ageing process) and an absorption in the TLS, are those of his creator.
The Caucasian barrier protects Georgia from cold air intrusions from the north, while the country is open to the constant influence of warm, moist air from the Black Sea.
Similar(38)
The associated rate constant influences the interface dissipation.
PFM responses are greatly reduced by substrate dielectric permittivity thus a conducting substrate is recommended to eliminate the dielectric constant influences and the dielectric "dead layer" should be avoided or carefully dealt with.
Durgin rendered the occupancy model applicable to a wider range of numerosities by converting the model's constant influence-sphere size into one that decreases with density [17], [18].
The quantity ζ is a mixing constant influenced by the degree of mixing and blending and can take a value between 0 and 1. NI refers to the number of incremental samples used for the aggregate sample (Lyman et al. 2009).
The issues that arise include vibration representation functions, selection of experimental mode shapes and frequencies for analysis, goodness of experimental data, frequency sensitivity of the elastic constants, influence of diagonal modes where relevant, plate thickness, plate aspect ratio, material orthotropy ratio and orientation of reinforcing fibers in laminate composites.
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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