The sum of activity durations of the longest path in a network indicates expected project completion time,and the activities on it are called the critical activities.

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This is a correct statement. The longest path in a network is called the critical path, and the sum of its activity durations represents the expected project completion time. The activities on the critical path are called critical activities because any delay in those activities will directly impact the project's completion time.

The Sum of Activity Durations of the Longest Path in a Network