CO : 32/21 , CO OPEN 40% , fold to 3bet 20% ,
river bet 31 , fold to cbet 3bet pot 40% .
400hands

River odds 27% ,

if we add KQs (+4combos) we still have 31% ,if KQo then we behind . i'm not sure about KQo . If i have KQs or KQo or AKo as CO here , should i check it too on the turn ? if yes why ?
flopzilla :

Poker Stars, $0.25/$0.50 No Limit Hold'em Cash, 6 Players
Poker Tools Powered By Holdem Manager - The Ultimate Poker Software Suite.

Hero (SB): $129.17 (258.3 bb)
BB: $52.62 (105.2 bb)
UTG: $58.40 (116.8 bb)
MP: $12.53 (25.1 bb)
CO: $321.72 (643.4 bb)
BTN: $50 (100 bb)

Preflop: Hero is SB with A Q
2 folds, CO raises to $1.50, BTN calls $1.50, Hero raises to $7, BB folds, CO calls $5.50, BTN folds

Flop: ($16) 2 K 9 (2 players)
Hero bets $8, CO calls $8

Turn: ($32) 4 (2 players)
Hero checks, CO checks

River: ($32) 8 (2 players)
Hero checks, CO bets $19