わけがない · a denial from common sense
plain。
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そんな
そんな[0]
that kind of; that sort of
na-adjective-like demonstrative · modifies the noun 店 directly
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高い
たかい[2]
expensive; high
i-adjective · plain form modifying 店
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店
みせ[2]
shop; restaurant
noun · generic word for a place of business
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に
に
to — direction or destination
particle · marks 店 as where 彼 would go
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彼
かれ[1]
he; him
pronoun · also means boyfriend in casual speech
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が
が
marks the subject
particle · 彼 is who's doing the (hypothetical) going
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行く
いく[0]
to go
godan verb, dictionary form · goes straight into わけがない
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わけがない
わけがない
there's no way
formal noun わけ + がない · denies from what you know about 彼's character
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There's no way he'd go to such an expensive store.