Is it correct to use of twice in the following sentence?
The problem of absence of remote facilities is addressed in the article...
What is the best way of writing this sentence?
While the sentence is correct, it's rather awkward.
Some options for improvement:
Note that the above may be improvement over the original, but are not particularly elegant. Without knowing what follows "addressed in the article" and what "remote facilities" mean, I can't really do any better.
Also, active construction (something like "The article addresses the problem....") will probably improve clarity.
The sentence is grammatically correct. A better wording, though, would be
Lack is a kind of absence that is a deficiency, and is therefore a more appropriate word.