When you write, you inevitably read what you've written over and over again, until eventually you'll add rhythm and fluency where these is none. It's hard to step right back from your work in progress, which is why a week in the drawer before the final passes is recommended often. You're just too close to judge it objectively.
By critiquing other people's work, you can switch that objectivity on easily. You don't know their deeper intentions so view the text more coldly, more logically. Often, they'll make the same mistakes you're making but no longer see. That's the value of critique. Not only do you get to learn from the people you critique, in terms of rhythm, fluency, word choice, grammatical structure, you get to see your own mistakes framed clearly.
You would be surprised how many of those 'hidden' mistakes you suddenly start picking up on when returning to your own work. It's as if that subjective veil has been reset, allowing the objective self to see what you've written for what it is.
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