Why might a country that is suffering a recession not want to intervene in the foreign exchange

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Why might a country that is suffering a recession not want to intervene in the foreign exchange market if its currency is overvalued? Assume this country participates in a fixed exchange rate regime. 

Exchange Rate
The value of one currency for the purpose of conversion to another. Exchange Rate means on any day, for purposes of determining the Dollar Equivalent of any currency other than Dollars, the rate at which such currency may be exchanged into Dollars...
Foreign Exchange Market
The foreign exchange market (also known as forex, FX or the currency market) is an over-the-counter (OTC) global marketplace that determines the exchange rate for currencies around the world. Participants are able to buy, sell, exchange and...
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