Conjectural Wilf-equivalences for vincular patterns of length four

A vincular pattern is a permutation pattern in which adjacent entries joined without a dash must occur consecutively in an occurrence; write $\equiv$ for Wilf-equivalence, meaning that two patterns are avoided by the same number of permutations of every length. The patterns below have length four.

Wilf-equivalence conjecture. The following Wilf-equivalences hold:

$$23\text{-}1\text{-}4 \equiv 1\text{-}23\text{-}4$$

$$14\text{-}2\text{-}3 \equiv 2\text{-}14\text{-}3.$$

These are the only two conjectural equivalences remaining in the authors' summary of the Wilf-classification of vincular patterns of length four with one or two internal dashes, and both had been confirmed computationally for $n\leq 9$.