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the point is that for many people reducing caloric intake will not be enough to lose weight - which is one of the reasons it seems to be so difficult for so many people
if they reduce their caloric intake and they are sedentary they may become more sedentary with less food
but if they combine it with exercise vigorous enough to cause panting and sweating - and it doesn't have to be all that much - fast walking can do it - they will increase their metabolic rate and make it easier to lose without drastic, extreme reductions such as what he posted - 1,000 calories or less per day - which is going to be very, very difficult to maintain
Max Pen's suggestion to calculate individual BMR (basic metabolic rate) is a good one that most people don't do
linked is a calculator for that
https://www.active.com/fitness/calculators/bmr