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to advance; to go forward
to precede; to go ahead (of)
to make progress; to improve
to deepen; to heighten
to be fast (of a clock); to be ahead
to do of one's own free will
計画通りに進んでいます。
It's progressing according to plan.
前に進むことが大切です。
It's important to move forward.
話が進まなくて困っている。
I'm troubled because the conversation isn't progressing.