초대하다(cho-dae-ha-da, chodaehada)
To invite someone to an event or place; to extend an invitation.
When to use
Host inviting to event, Inviting friend to party, Calling guests to business meeting
The nuance
초대하다 is an active verb where the subject is the one inviting others directly.
초대되다(cho-dae-doe-da, chodaedoeda)
To be invited by someone to an event or place; to receive an invitation.
When to use
Speaking as invitee, Announcing official invitation, Emphasizing being invited
The nuance
초대되다 is passive; the subject is the one being invited, and the inviter may be omitted.