The phrase "absolutely exists" is correct and usable in written English.
It can be used to emphasize the certainty or undeniable nature of something's existence.
Example: "The evidence absolutely exists to support the theory proposed by the researchers."
Alternatives: "undoubtedly exists" or "definitely exists".
White privilege absolutely exists, yes, but it should be diluted with the plurality of the rest of humanity, rather than sitting in opposition to a socially constructed position of (political or otherwise) blackness.
Yes, weirdness still absolutely exists in rap (Future, Young Thug et al) and R&B has its one-offs (FKA twigs), but Missy's mix of street culture, futuristic imagery and off-kilter production still sound and feel like no one else.
Jony Ive: That possibility absolutely exists.
Thus, his work absolutely exists in dialog with artists like Ed Ruscha and Mel Ramos.
Most pro-independence campaigners scoff at the idea of the "Braveheart effect", but it absolutely exists, and for years my worst fear for Scotland was that we'd choose independence in a fit of misguided anglophobic rage, or because we were butthurt by the BBC referring to Andy Murray as British when he wins.
How could a practice like that absolutely exist, ever?
Mr. Coluccio said the programs and the computer equipment "absolutely exist".
While we are a far way from identifying the smartphone equivalent of paid search, it will absolutely exist (it has to) and it will leverage ambient targeting, the digital wallet and smartphone native formats that interrupt but don't disrupt the user from the task at hand.
But these people absolutely exist, and they're running your student union, and very likely they will be forming government in 20 years.
The view is both actualistic, as absolutely everything is actual, and anti-Meinongian, as absolutely everything exists.
Take the most encompassing negative existential of all: absolutely nothing exists.
