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The phrase "a significant and stable" is correct and usable in written English.
It can be used to describe something that is both important and consistent over time, often in contexts such as research, economics, or social sciences.
Example: "The study found a significant and stable correlation between exercise and mental health improvements."
Alternatives: "a considerable and consistent" or "an important and enduring".
Exact(10)
A significant and stable decrease (9%, p < 0.05) in 24 h albuminuria was demonstrated with time.
The results show that cattle are a significant and stable reservoir for C. jejuni in the study area.
During homeopathic care we saw a significant and stable improvement in QoL which, as measured by the FACT G, is sizeable at more than half a standard deviation.
Similarly, we noticed a significant and stable increase in the SA level beginning at 0.5 h (2-fold) and continuing to 6 h (4-fold) after HA.
Fishbane et al [ 8] report slightly elevated iPTH at baseline (7.8 pmol/l) without difference between groups, with a significant and stable decrease over 6 months (5.1 pmol/l) with paricalcitol-treatment.
For example, OBT was shown to produce a significant and stable reduction in pain intensity, interference, solicitous behaviour of the spouse, medication, pain behaviours, number of physician visits and days at a hospital, and improvement in sleeping.
Similar(50)
At emergence these parasites exhibit a significant and seasonally stable female biased sex ratio.
Finally, experience in paying and visiting a physician has a significant and rather stable effect similar to the one for inability to pay.
Hence, morphological, and to some extent behavioural, phenotypes showed a significant and transgenerationally stable variation in the animals used for the present study.
Responding had become stable (i.e., "day" was no longer a significant factor and stable baseline behavior was achieved) for both groups and sexes by Session 11, therefore in the following analyses, data from only Sessions 12 to 19 were used.
As a champion of EIDM he has ensured significant and stable funding and staff resources are allocated to pursue the EIDM objectives.
More suggestions(16)
a significant and durable
a significant and consistent
a significant and strong
a large and stable
a significant and permanent
a significant and steady
a significant and sustainable
a substantial and stable
a significant and predictable
a major and stable
a significant and lasting
a reproducible and stable
a significant and influential
a safe and stable
a significant and unlikely
a significant and beautiful
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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