Here's what rhymes with counterinvention.
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lengthen strengthen section infection session inception cession hessian seven exception heaven intention affection injection inspection insurrection tendon inflection dentin headman felon headmen henchmen heron chevron freshen henchman inflexion penman pennon vegan indention hellion direction election conception impression intervention perception possession selection chairman correction lesson perfection reception weapon accession concession confession intersection intestine threaten deception dissection erection exemption lemon lessen obsession recession reckon resection resin secession convection defection ejection freshman imperfection ingestion intercession disinfection inattention leaden leaven melon indirection interception pectin sexton beckon confection deaden lepton reinfection bisection destine hempen redden bellman deafen headsman refection helpline question expression collection connection depression profession reflection aggression detection eleven objection rejection succession brethren connexion oppression procession resurrection suppression complexion deflection subjection dejection disaffection distention pepsin abstention reflexion abjection circumvention interjection penguin stepson prepossession subvention genuflection kelvin pressman nelson trisection protection suggestion compression discretion rebellion progression projection recollection redemption regression repression congestion digestion contraception introspection misconception predilection transgression contravention digression indigestion indiscretion interconnection reelection circumspection dispossession preemption redirection concretion misdirection nonintervention preconception repossession selectman supervention gremlin decompression disconnection watermelon retrospection nonaggression retrogression rhododendron delicatessen autosuggestion