Certainly! Here's a revised version of your text with necessary changes:
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I applied for an internship as an Angular Developer through the ETAS carrier website and, after waiting for almost two months, I received an invitation for an interview. Initially, I was tasked with completing a coding challenge within four days, which I successfully accomplished. Following this, I underwent an interview that lasted about half an hour. During the interview, the interviewer asked me questions regarding the approach and methods I employed in completing the task.
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This version offers a clearer, more concise account of your experience applying for and proceeding through the selection process for an internship.