"积极参加竞选" can be translated into English as "actively participate in the election campaign" or "enthusiastically take part in the electoral race".
The first option, "actively participate in the election campaign," is more commonly used and straightforward, clearly conveying the idea of taking an active role in the process of running for an elected position.
The second option, "enthusiastically take part in the electoral race," adds a touch of enthusiasm or eagerness to the participation, which might be suitable in contexts where emphasizing the candidate's passion or vigor is important. However, the first option is generally more versatile and widely applicable.