There are a plethora of synonyms that can be used for the phrase "remain unsettled." A few examples are unresolved, undecided, unsorted, unaddressed, unclear, and undetermined. All of these terms convey a sense of ambiguity and lack of finality. It could refer to anything from a legal case that is still pending a decision, to a personal situation that hasn't been resolved yet. In any case, the phrase suggests that the matter has yet to be settled and requires further attention or action. Using synonyms like these can help to add variety and precision to language, providing different shades of meaning and helping to avoid repetition.