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The previous Ielts score works only if you submitted the Ielts score when you were applying for immigration. Otherwise, for example, if you were a defendant, your previous Ielts does not work, and thus you have to retake Ielts exam or provide transcript given by Canadian institution after graduation if you attended a college in Canada or your LINC performance.
I think LINC certificate you were provided right after landing works if your LINC performance meets the requirement and it was provided by the official authority. Check it out on the CIC's website, which gives you every detail.