Aan het construction has no direct or literal equivalent in modern English, but similar constructions have existed since Early Modern English. Literal translation of the construction would be "be on/at the (gerund)" where the gerund expresses the continuous action. In modern English, similar constructions exist but they are generally uncommon due to being unnecessarily verbose and as such they are only marginally more frequent only in certain dialects; e.g. "I am doing the washing" or "I am doing some reading." as opposed to "I am washing up." or "I am reading."