After the Allied forces join the campaign where do they fight their first battles?

After the Allied forces joined the campaign in World War II, they fought their first significant battles in North Africa, specifically during the Western Desert Campaign. The initial major engagements included the Battle of El Alamein in 1942, where Allied forces aimed to halt the advance of Axis troops led by General Erwin Rommel. This area became a crucial theater as the Allies sought to gain control over North Africa and secure the Mediterranean region.