Synonyms of 'in due course'
▷ See course
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Eventually means at the end of a situation or process or as the final result of it.
Eventually your child will leave home to lead her own independent life.
You use finally to suggest that something happens after a long period of time, usually later than you wanted or expected it to happen.
The food finally arrived at the end of the week.
Thesaurus for in due course from the Collins English Thesaurus
If you say that something will happen or take place in due course , you mean that you cannot make it happen any quicker and it will happen when the time is right for it.