"facing the problem" is a perfectly correct and usable part of a sentence in written English.
You can use it when referring to someone addressing a particular difficulty. For example: "John is bravely facing the problem head on, and is determined to find a solution."
And the dove majority avoided facing the problem posed by Communism altogether.
Instead of facing the problem squarely, they pretended it did not exist.
Only a "small fraction" were facing the problem at a given moment.
Charity shops are facing the problem that increasingly the body language of mainstream retail is all about discounts".
He is the New Zealander facing the problem of mixing Irish, Welsh and Scottish players into the English hard core.
Emerging into the sunlight after reciting the Rosary at St. Christopher's, Vincentia Dobson, 63, said she was glad the church hierarchy was finally facing the problem.
It leaves the yes side facing the problem of disappointed expectations and unfavourable headlines just when they had hoped to be demonstrating momentum.
Assam has been facing the problem of illegal migration from the neighboring country of Bangladesh and the government feels that updating the NRC will help solve this problem.
The board pointed to various causative factors, from the tolerance of immature and sexually dysfunctional candidates for the priesthood to the Vatican's delay in facing the problem.
We will no doubt end up with a series of half measures, facing the problem over and over again, but nature will win in the end, as she usually does.
You do not have to be an actuary to marvel at the amount of flimflam politicians at all levels on all sides have employed to avoid facing the problem.
