"跟上时代的步伐" 的英文表达是 "keep up with the times". 这个表达可能来源于汉语语句 "跟随时代的潮流", 其中的 "跟随" 可以被翻译成 "keep up with" 或 "follow".
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例句：
1. 为了跟上时代的步伐，我们需要不断学习新知识。
Translation: In order to keep up with the times, we need to continuously learn new knowledge.
2. 这家公司一直在跟上时代的步伐，开发出许多创新的产品。
Translation: This company has been keeping up with the times and developing many innovative products.