A mortgage lender is never allowed to sell a property against which a mortgage has been taken outA mortgage lender may in certain circumstances sell the property against which a mortgage has been taken out.A mortgage is often entered into to allow the lender to sell a property that they otherwise wouldn’t be able toA mortgage is often entered into to allow the debtor to sell a property that they otherwise wouldn’t be able toA mortgage is often agreed to allow a lender to purchase a property that they otherwise wouldn’t be able to

The statements provided seem to be a mix of true and false assertions about mortgages. Here's a breakdown:

1. "A mortgage lender is never allowed to sell a property against which a mortgage has been taken out" - This is false. If a borrower defaults on their mortgage payments, the lender has the right to foreclose on the property and sell it to recover the money they lent.

2. "A mortgage lender may in certain circumstances sell the property against which a mortgage has been taken out" - This is true. As mentioned above, if the borrower defaults on their payments, the lender can sell the property.

3. "A mortgage is often entered into to allow the lender to sell a property that they otherwise wouldn’t be able to" - This is false. A mortgage is a loan provided by the lender to the borrower to purchase a property. The lender doesn't enter into a mortgage to sell a property, but to lend money.

4. "A mortgage is often entered into to allow the debtor to sell a property that they otherwise wouldn’t be able to" - This is false. A mortgage doesn't allow a debtor to sell a property. It allows them to buy a property by borrowing money from a lender.

5. "A mortgage is often agreed to allow a lender to purchase a property that they otherwise wouldn’t be able to" - This is false. A lender doesn't agree to a mortgage to purchase a property. They agree to lend money to a borrower who wants to purchase a property.