What term best describes the combined actions of an attack and a pursuit?

The term that best describes the combined actions of an attack and a pursuit is "Movement to Contact." This term refers to operations where a force maneuvers to make contact with the enemy, often with the intent to engage aggressively once contact is made.

In a military context, "Movement to Contact" typically involves using an attack to initially engage the enemy and then following up with a pursuit to maintain pressure and capitalize on any confusion or weakness within the enemy forces. The goal here is to keep the enemy off balance and unable to regroup or respond effectively.

The other terms have distinct meanings and contexts in military operations. A counterattack typically refers to a force that responds to an enemy attack, aiming to regain the initiative. Exploitation focuses on taking advantage of a breach or break in the enemy's defenses to gain a more significant advantage but may not necessarily involve directly pursuing the enemy. Engagement usually describes the act of fighting or coming into contact with the enemy but does not inherently include a pursuit component. Thus, "Movement to Contact" encapsulates the combination of attacking and pursuing more comprehensively.