I urgently need you to check these sentences, too. Thank you.

1) Pay in cash (or pay cash?)
2) Have you ever tried shopping on line OR online shopping?
3) They are planning to open a shopping centre on the edge/on the outskirts of town.
3) Imagine to dance with him. I can't imagine dancing with him (??):
4) Can you give me an example of "have + something + ing" different from I can't have this machine working.
I need to find examples with "leap, strive, proceed, condescend, care" + infinitive.
5) What is the difference in meaning between deserve + inf and deserve + Gerund?
Thank you.

1. Both work fine. Here are some examples:

He paid cash for his car. (didn't take out a loan)
He paid for his car in cash.

2. Both are fine.

3. OK

4. I can't help thinking of you.
I can't have drinking sprees.
I can't have swimming lessons.
(Do you need those examples used in the gerund's position?)

5.
I deserve to go to the movies.
(but not "I deserve going...")

I deserve to be paid on time.
(but not "I deserve paying on time.")

If you can give me other examples, I might be able to explain better.

1) Both "pay in cash" and "pay cash" are correct, but "pay in cash" is more common and sounds more natural. "Pay cash" is also acceptable, especially in informal situations.

2) Both "have you ever tried shopping online" and "have you ever tried online shopping" are correct. They have the same meaning and can be used interchangeably.

3) Both "on the edge" and "on the outskirts" of town are correct. They both mean that the shopping center is located near the outer parts of the town.

4) The correct sentence is "I can't imagine dancing with him." In this case, "imagine" is followed by the base form of the verb, not the infinitive.

5) Sure, here are some examples using "have + something + ing" with different verbs:

- Leap: She had us all leaping for joy.
- Strive: He had been striving for excellence his whole life.
- Proceed: They had no choice but to proceed with caution.
- Condescend: He would never condescend to picking up his own laundry.
- Care: She had shown no care for anyone's feelings.

6) The difference in meaning between "deserve + infinitive" and "deserve + gerund" is subtle:

- "Deserve + infinitive" implies that the action is hypothetical or potential. For example: "He deserves to be happy" suggests that he should be happy, even if he isn't currently.
- "Deserve + gerund" implies that the action is more concrete or specific. For example: "He deserves a medal for running that marathon" suggests that his action of running deserves recognition.

Remember that both forms are correct, but the choice between infinitive or gerund depends on the specific context and the intended meaning.