If I put "the" article and say "the months of work", does the nuance get changed?
No, the meaning would not change if you said "the months of work", however, the definite article "the" is not necessary here. This is because the noun "months" is referring to the plural of months in general. Since it is in general, you do not need "the" and it would actually sound unnatural in this sentence if you were to use "the".
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