回答
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Politicians are giving speeches on the street before elections, so I want to go listen.
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I want to go listen to the speeches that politicians are giving prior to[before] elections.
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Politicians give public speeches during the weeks before elections start, so I want to go listen to some.
「街頭演説」は、古くは、stump「切り株」に乗って演説をしたことが語源となっている stump speech や、soapbox「石けんを詰める木箱(日本ならみかん箱)」に乗って演説したことが由来の soapbox speech という言葉もありますが、street speech や public speech が自然です。
回答
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Before the election, politicians will be out on the street giving speeches, and I'm thinking of going out and listening to them.
街頭演説 = street oratory; soapbox speech
現代のアメリカの政治家はあまりそういうのしないです。