The phrase "and to permit" is correct and usable in written English.
It can be used when discussing the act of allowing or granting permission for something to happen.
Example: "The new policy aims to improve efficiency and to permit greater flexibility in work schedules."
Alternatives: "and to allow" or "and to enable".
We urge it to reject the appeal and to permit the recount to resume.
We might even have bills to reduce global warming and to permit gays to serve openly in the military.
A data conversation is begun between the old carrier and new to verify who the customer is, and to permit and register the transfer.
Feghali called for an immediate humanitarian pause in the fighting to allow crucial supplies in and to permit civilians to get out of combat zones.
This order was sought to prevent foreign assets being used for the purpose of evading justice, and to permit effective restitution to be made upon conviction.
His aides chose the stadium to signal a break from typical politics and to permit thousands of his supporters from across the country to hear him speak.
The new African Union, on the other hand, will require its members to hold free elections and to permit opposition parties to campaign freely.
No matter what the composition of the panel, Republican appointees are much more likely to vote to uphold restrictions on abortion and to permit executions to go forward.
Crises do not occur unless there is an abundance of credit to allow debt to build up and to permit speculators to take ever bigger bets.
The course of the river and the local water tables have been much modified by a series of dams to generate power and to permit navigation to Lyon.
To form the two cutting edges and to permit the admission of a coolant and the ejection of chips, two longitudinal or helical grooves or flutes are provided.
