"Deep impression" is a suitable translation for "深刻的印记" in Engpsh. It is used to describe a strong, lasting impact or influence that something has had on a person or situation.

The phrase "deep impression" comes from the Latin phrase "profundus impressio," which means "deep imprint" or "deep mark." It has been used in Engpsh since the 15th century to describe a strong or lasting impact that something has made on a person's mind or emotions.

Here are some example sentences in Engpsh and their translations in Chinese:

The trip left a deep impression on me, and I will always remember the beautiful landscapes and friendly people I met. (这次旅行给我留下了深刻的印记，我将永远记住美丽的风景和友好的人们。)
The tragedy had a deep impression on the community, and they held a vigil to honor the victims. (这场悲剧给社区留下了深刻的印记，他们举行了守夜仪式来纪念受害者。)
The speech made a deep impression on the audience, and many people were moved to tears by the speaker's words. (演讲给观众留下了深刻的印记，许多人被演讲者的话感动得流泪。)