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The phrase "able to make these breakthroughs" is correct and usable in written English.
You can use it when discussing someone's capability to achieve significant advancements or discoveries in a particular field.
Example: "The researchers were finally able to make these breakthroughs after years of dedicated work and experimentation."
Alternatives: "capable of achieving these breakthroughs" or "qualified to make these breakthroughs".
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"I kind of worry if we stop appreciating the contribution of basic science then we won't be able to make these types of breakthroughs in the future," she says.
It's when we're able to make these new connections that nobody else has made are we able to create breakthroughs and unleash our creativity.
And we should be able to make these changes too.
"Is Japan able to make these difficult decisions?
Innovation will come from the princelings of the Silicon Valley hierarchy, as successful entrepreneurs will already have the resources to make these breakthroughs.
With neither side able to make the breakthrough during 120 minutes of precious few goalscoring chances or notable incidents, it needed the first shoot-out of the 2010 World Cup to separate the two nations.
With neither side able to make the breakthrough, the game entered extra-time - and there was a looming sense that it could go all the way to penalties.
With neither side able to make the breakthrough, the game went into extra-time and there were chances galore for both teams.
Anikeeva says her materials science skills were essential to making these breakthroughs.
HOW have previous presidents been able to make breakthroughs in their second term?
By bridging a number of disciplines, Yasui is able to make breakthroughs, she points out.
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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