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Is the adjective fully-insured supposed to be hyphenated (e.g. a fully-insured company)?
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No. One of the odd style things is that adverbs ending in -ly don't take the hyphen.
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Teachers: We supply a list of EFL job vacancies

fully insured firm

anonymous

fully insured firm

Maybe you don't realize it, but you are answering a question that was asked and answered many years ago.

Why not answer questions that are more recent? That way there's a better chance that the person who asked the question is still participating on our forum and can benefit from your answer.

CJ