Does your pets always follows you even inside the house?

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I don't know if it's just my pets or its the same with your pets too. My dogs kept following me wherever I go. If I'm sitting on a chair they would lie down under my chair. If I am eating on the dinner table they will stay under the dinner table. When I am taking a bath, they will stay by the door and wait for me until I come out. They do sleep beside me at nights. Right now I am working on mylot at the patio. My laptop is on the table and my pets are also on the table. I have been here since 9am and they have never come down from the table. Except when I ate my lunch of course, they followed me inside the house. They are sleeping soundly and if I try to move and get off my chair they suddenly wake up as if checking on me if I am leaving. They are always looking at me wherever I go inside the house. I don't know why they do this. It seems they are afraid that I might leave them. Are all pets like this? Or my pets just loves me to death and can't stand being away from me hehe. Please do share!