Hello Arsal,
Your sentence structure is correct as for "let alone" it is used to emphasize the improbability of something to happen or be done by succeeding the term with something more unlikely to happen in comparison to the previous mentioned activity.
For example:
"She doesn't want to talk to him ,let alone invite him to the party."
It means if she already doesn't want to talk to him then much less would she be willing to invite him to the party. It is a logical derivation showing that what comes after the term " let alone" is necessarily less acceptable and more deniable than the previous statement.