People with an avoiding conflict style will diplomatically circumvent an issue or altogether seperate themselves from a potential conflict. This conflict style is useful in situations where you are better off delaying a situation or where you don't have particular care for the outcome. For instance, when you are dealing with people who are prone to bring up petty arguments or debate abstract matters of not particular consequence to you. Sometimes it's best to just say "fair enough" and move on.
While an avoiding conflict style can create harmony in trivial situations, when it is applied to areas of material concern, it can create real long-term damage. Unresolved conflict can grow overtime and avoiding dealing with compound the issue at hand and turn what could have been a small and difficult dispute into a complex web of grievences and acts of defiance that can destroy a relationship.