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After creating the offset lines in the model (VIEW-->EXPLODE-->OFFSET LINES-->CREATE), Click View manager icon or VIEW-->VIEW MANAGER--> select EXPLODE, (make sure the assembly is in exploded state), EDIT-->SAVE. Now your exploded view with the offset lines are saved & thus reflected in drawing as well. Without this step, whatever offset lines you created will not be saved even if you save the assembly with the offset lines.
Hope this helps. Thanks.