Roth 401k / 457 Phase-Out Range

For 2023, my wife and I are over 50 and will contribute approximately $53k in our employers Roth 401k and Roth 457.  It looks like our gross income will be approximately $225k. Does this put us in the phase-out range? If so, what does that mean? Some reading online states that if we meet our plans eligibility requirements, we can participate regardless of income.  Is that so?