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The phrase "an important indication that" is correct and usable in written English.
It can be used to highlight a significant sign or piece of evidence that suggests a particular conclusion or outcome.
Example: "The increase in temperature is an important indication that climate change is accelerating."
Alternatives: "a significant sign that" or "a crucial signal that".
Exact(16)
Zarif said: "Mr Amano's visit is going to be an important indication that we are in process in moving forward".
Creation of an infrastructure bank would be an important indication that leaders in Washington are still capable, despite most of the available evidence, of moving beyond partisan paralysis to engage one of the biggest challenges facing the country.
These drops in murders are an important indication that the decline in the nation's murder rate since 1991, long driven by decreases in homicide in the big cities, is now starting to take hold in small cities, suburbs and rural areas across the country.
The results in Table 1 therefore, give an important indication that the electrostatic force from DC bias voltage is the key factor for manipulating individual nanowires.
The sale of iPads to educational institutions also outpaced the sale of laptops and desktops, an important indication that classroom demand is truly beginning to shift from desktop to touch-based, mobile learning.
A "senior figure" at the British Defense Ministry told the Financial Times, "Petraeus' appointment to head the CIA is an important indication that the U.S. wants to fuse intelligence and military operations".
Similar(44)
The shipment represented the latest and most important indication that Iran is fulfilling the terms of the nuclear agreement it reached with the United States and five other Western countries in Vienna, back in July.
Of all neurological symptoms, an inducible clonus, with or without hyperreflexia, and especially in the lower extremities, seems to be most important indication that serotonergic toxicity may be present, along with fluctuating blood pressure in the absence of vasopressor or inotropic medication.
An important indication, however, that the THPO matreshkaM may be translated not from a leaky scanning event, but instead as part of a frameshifted splice variant, came from a BLAST search of the matreshkaM against the UniProt protein database [ 18].
Here are five important indications that an advisor can be trusted.
The subcutaneous xenograft cancer provided important indications that [11C]PAQ could potentially be a valuable tracer with the ability to visualize regions with high VEGFR2 expression.
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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