The verb "mull" can have the following meanings:
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To think deeply or to consider something carefully: This usage typically refers to reflecting on an idea, problem, or decision, often for an extended period.
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To heat and spice a beverage, typically wine or cider: In this context, "mulling" refers to the process of warming a drink and adding ingredients like spices and sweeteners to enhance its flavor, especially during cold weather or festive occasions.