The behaviors that might help you maintain good emotional and mental health from the options provided are:
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Maintaining friendships with people who really know you - Strong social connections are important for emotional support and wellbeing.
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Keeping a journal of your accomplishments and interests - Journaling can help with self-reflection, increase self-awareness, and promote positive thinking.
Choosing to keep to yourself and not socialize with new people is generally not beneficial for emotional and mental health, as social interaction can boost mood and provide support.
Completing your homework can contribute to academic success and reduce stress, but it is not directly related to emotional and mental health in the same way that maintaining friendships and journaling are.
So, the best answers are maintaining friendships and keeping a journal.