1. Each box is printed in black ink.

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(Q: Does this sentence state 'action' or state'? According to the situation, it seems to be different.)

2. There are many boxes in the room. There were made by a company two years ago. Each box is printed in black ink.

3. The machine is in operation. The box is being made by the machine. Each box is printed in black ink.

You must be working with the difference between active and passive voice.

Active voice indicates action (someone does something).

Passive voice indicates a state (something was done to something/someone).

2. There are many boxes in the room. (being)
There were made by a company two years ago. (passive)
Each box is printed in black ink. (passive)

3. The machine is in operation. (being)
The box is being made by the machine. (passive)
Each box is printed in black ink. (passive)

There are no active verbs among these sentences. Here's how some could be active:

The printer chose black in for all the boxes.
The machine operator controlled the machines that made boxes.
(Each of the subjects did the action of the verbs.)