Final answer:
The limbic system, including the amygdala and the hippocampus, is involved in positive emotions like hope and love, with the frontal lobe also playing a significant role.
Step-by-step explanation:
The brain areas associated with positive emotions like hope and love are primarily found within the limbic system. This network of structures includes the amygdala, which is involved in the processing of emotional responses such as fear, but is also associated with various mood and/or anxiety disorders. Moreover, the hippocampus plays a key role in emotional processing and has been linked to mood disorders as well. In addition to the amygdala and hippocampus, the frontal lobe, particularly the ventromedial prefrontal cortex, is responsible for the complexity of positive emotions related to decision making and social interactions. It is important to note that emotions are complex and involve multiple brain areas working together.