ESI Coverage
As regards ESI coverage, there is no age limit, and the coverage must continue until the wage limit is not exceeded.
PF Coverage
As for PF coverage, the contribution under the Employees Pension Scheme is only up to the age of 58 years. After that, the entire contribution goes to PF and is eligible for a pension. Since these employees have already crossed 58 years of age, they can get their final withdrawal and then be considered "excluded employees" under the PF Act. Therefore, no coverage is needed under the PF Act thereafter.