Here's what rhymes with birches.
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purges dirges merges verges emerges furtive diverges scourges furbish splurges assertive submerges converges refurbish reemerges unassertive purses earnings curses burnings turnings hearses jerkins workings servings learnings stirrings yearnings yearlings coerces earthlings hertzes reverses rehearses wordings disburses subversives whirlwinds reimburses reworkings universes