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"long run relationship" is correct and usable in written English
You can use it when you are talking about a relationship that will last for a long time. For example: "The couple is committed to building a long run relationship that will last for many years."
Exact(11)
It is clear from the table that there is a long run relationship amongst the variables.
This therefore means there is a long run relationship between financial development and economic growth.
We have applied panel cointegration to examine long run relationship between the variables.
For this purpose, we applied panel cointegration to examine the long run relationship between the series.
Alkhuzaim (2014) used cointegration and granger causality techniques and concluded that there is positive long run relationship between financial development indicators and GDP growth rate in Qatar.
There are cases where theory suggests existence of long run relationship among variables, panel cointegration tests have failed to reject the null hypothesis of "no cointegration".
Similar(49)
This might imply that the long-run relationship is weak.
It means that the long-run relationship exists.
Thus, long-run relationship will often hold "on average" over time [2].
In addition, both the short- and the long-run relationship can be simultaneously estimated.
μ 1 ≠ μ 2 ≠0 (a long-run relationship exists thus co-integration).
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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