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When added to a verb form this construction creates a progressive ('ing') verb.
가다 -> 가고 있다
먹다 -> 먹고 있다
입다 -> 입고 있다
The 있다 can be conjugated to form different tenses, negations, etc.
내가 술을 마시고 있었다. I was drinking alcohol.
Category: Korean grammar reference