'increasingly encountered' is correct and usable in written English.
You can use it when referring to a situation or phenomenon which you believe to be becoming more frequent, or more likely to occur. For example: "The effects of climate change are increasingly encountered in developing countries."
Depression is something that I increasingly encountered in my own medical practice.
I may have thought this was a little silly growing up, but I recalled it with the fondest nostalgia as my attempts to organize a tashlich service for Camp Arifjan's tiny Jewish community (sans New York Police Department support) increasingly encountered all the logistical difficulties of a combat operation.
Intrapancreatic lipomas, previously thought to be rare, are being increasingly encountered.
Due to the number and complexity of procedures, post-ERCP complications are increasingly encountered.
Hepatic capsular retraction is increasingly encountered and may be due to a diverse spectrum of pathologies.
Novel synthetic opioids (NSO) are increasingly encountered in illicit heroin and counterfeit pain pills.
As the Americans fan out, they will increasingly encounter armed resistance.
But, as the religious leaders' press conference here showed, he increasingly encounters checks on his press power.
The services capability, they add, can be crucial for solving the complex computing problems that large companies increasingly encounter these days.
According to Collins Ian Brookess a geek is no longer a "boring and unattractive social misfit" and readers are "increasingly encountering the word in contexts other than computing, and with increasingly positive connotations".
Part of the reason for the interest in the drugs is that aging baby boomers are increasingly encountering the problem of erectile dysfunction, said David F. Saks, who is the chief investment officer for Gruntal & Company's MedScience Fund.
