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The phrase "showed a decline" is correct and usable in written English.
You can use it to indicate a decrease in something, such as when discussing a statistical trend. For example: "The results of the survey showed a decline in support for the proposal."
Exact(60)
However, Thursday's figures showed a decline of 121,700 to 1.58m taking part once a week.
New economic figures showed a decline in home builders' sentiment.
Compared with a month earlier, all 20 cities in the survey showed a decline.
This was in contrast to the September quarter, which showed a decline from the June quarter.
The only one of those to have reported December numbers, Brazil, showed a decline that month.
A separate report showed a decline in the index of leading economic indicators.
His stock market record after 18 months showed a decline of 12.3percentt.
Ohio, Nevada, Colorado and Iowa showed a decline in early voting, and those declines were small.
Industrial production figures for June, released on August 9th, showed a decline of 1.8%.
Household data showed a decline in both employment and the size of the labour force.
It also showed a decline into negative territory, but the move was not as large.
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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