"continually to confront" is used to avoid the mistake called the "split infinitive", which says that you should never put any word between infinitival "to" and its verb. The infinitive is to confront , and to continually confront , or to always confront or to quickly confront , and so on, are all examples of "split infinitives". Many grammarians feel that a split infinitive is not a serious mistake, however, and you will often find it both in speech and in writing.
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