For a quick mental check during examinations: When an object is placed between $F$ and $2F$ of a convex lens (here, $F=20\text{ cm}$ and $2F=40\text{ cm}$, object is at $30\text{ cm}$), the image must always be formed beyond $2F$ ($>40\text{ cm}$), and it must be real, inverted, and magnified. Our result of $+60\text{ cm}$ aligns perfectly!