Are the two LTL properties $GF(\psi_1 \land F\psi_2 )$ and $GF(\psi_2 \land F\psi_1 )$ equivalent?

Is $ GF(\psi_1 \land F\psi_2 )$ equivalent to the property $ GF(\psi_2 \land F\psi_1 )$ ?

Attempt:

In the first property each state must eventually see $ \psi_1$ and $ \psi_2$ , in the second property as well each state must eventually see $ \psi_1$ and $ \psi_2$ , as such the two properties must be equivalent. Is this correct?