Yes
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Factors that contribute to the sustainability of monopoly profits in the long run include barriers to entry, economies of scale, control over scarce resources, and strong brand loyalty.
many firms will earn profits in the short term, but they must constantly innovate and compete to earn profits in the long term
When perfectly competitive firms in an industry are earning positive economic profits, it attracts new firms to enter the market, increasing competition. This leads to a decrease in prices and profits until they reach a long-term equilibrium where firms earn normal profits. This process ensures the long-term sustainability of the industry by preventing excessive profits and encouraging efficiency.
Monopoly and Oligopoly are both the only firms that may make positive profit in the long run. Under LONG-RUN MARKET TENDENCY OF PRICE AND ATC: Monopoly P>ATC and Oligopoly P>ATC both will have postive profits, however it possible to turn to zero profits if there isn't capitalization of the profits or any rent-seeking activities or if the market is contestable. But moreover, the answer you're looking for is the above that bother Monopoly and Oligopoly will have positive profit in the long run.
In long run under perfect competition new firms enters into the market and share the profit of existing firms due to free entry and exit .the new firms in the long run enters into the market until they earn profit and leaves the market if they suffer looses. In short if there is free entry and exit