How long do I have since I passed the course until it expires before I get the LMA Part 66 license?

Regulation (EU) No 1321/2014 provides in paragraph (b) of 66.A.25 that basic training courses and examinations shall be conducted within the 10 years preceding the application for an aircraft maintenance licence or the addition of a category or subcategory to that licence.

Those modules that have passed 10 years will need to be re-examined if the syllabus of these modules has changed since it was approved until the date on which the license is requested. If the agenda of those modules had not changed, it would not have to be reconsidered.