  We give a partial answer to a problem of Harju by constructing an infinite
ternary squarefree word $w$ with the property that for every $k \geq 3312$
there is an interior length-$k$ factor of $w$ that can be deleted while still
preserving squarefreeness. We also examine Thue's famous squarefree word
(generated by iterating the map $0 \to 012$, $1 \to 02$, $2 \to 1$) and
characterize the positions $i$ for which deleting the symbol appearing at
position $i$ preserves squarefreeness.
