Final answer:
Ahmed Shah Durrani established his control over Lahore from 1748 to 1767, amidst the decline of Mughal rule and the rise of the Maratha Empire.
Step-by-step explanation:
Ahmed Shah Durrani established his control over Lahore during the period of 1748 to 1767. This historical event took place against a backdrop of weakening Mughal governance and the rise of regional powers such as the Marathas. Ahmed Shah Durrani, also known as Ahmad Shah Abdali, was the founder of the Durrani Empire and is known for his several invasions into the Indian subcontinent, having a significant impact on the power dynamics of the region during the mid-18th century.